SLIM21

Sort Order Display Format Items / Page  
 
  Click the serial number on the left to view the details of the item.
 #  AuthorTitleAccn#YearItem Type Claims
1 Kimura, Taro Instanton Counting, Quantum Geometry and Algebra I11645 2021 eBook  
2 Franchini, Fabio An Introduction to Integrable Techniques for One-Dimensional Quantum Systems I10202 2017 eBook  
3 Cardona, Alexander Quantization, Geometry and Noncommutative Structures in Mathematics and Physics I09980 2017 eBook  
4 Rudolph, Gerd Differential Geometry and Mathematical Physics I09737 2017 eBook  
5 Mizera, Sebastian Aspects of Scattering Amplitudes and Moduli Space Localization I09590 2020 eBook  
6 Doubek, Martin Algebraic Structure of String Field Theory I09528 2020 eBook  
7 Eckstein, Micha?? Spectral Action in Noncommutative Geometry I09061 2018 eBook  
8 Ydri, Badis Lectures on Matrix Field Theory I08731 2017 eBook  
9 Zhelnorovich, Vladimir A Theory of Spinors and Its Application in Physics and Mechanics I08606 2019 eBook  
10 Esposito, Giampiero Complex General Relativity I10890 2002 eBook  
(page:1 / 3) [#29]    Next Page   Last Page 

1.    
No image available
TitleInstanton Counting, Quantum Geometry and Algebra
Author(s)Kimura, Taro
PublicationCham, Springer International Publishing, 2021.
DescriptionXXIII, 285 p. 36 illus., 13 illus. in color : online resource
Abstract NoteThis book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras. The key concept is the instanton, which is a solution to the anti-self-dual Yang???Mills equation in four dimensions. In the first part of the book, starting with the systematic description of the instanton, how to integrate out the instanton moduli space is explained together with the equivariant localization formula. It is then illustrated that this formalism is generalized to various situations, including quiver and fractional quiver gauge theory, supergroup gauge theory. The second part of the book is devoted to the algebraic geometric description of supersymmetric gauge theory, known as the Seiberg???Witten theory, together with string/M-theory point of view. Based on its relation to integrable systems, how to quantize such a geometric structure via the ??-deformation of gauge theory is addressed. The third part of the book focuses on the quantum algebraic structure of supersymmetric gauge theory. After introducing the free field realization of gauge theory, the underlying infinite dimensional algebraic structure is discussed with emphasis on the connection with representation theory of quiver, which leads to the notion of quiver W-algebra. It is then clarified that such a gauge theory construction of the algebra naturally gives rise to further affinization and elliptic deformation of W-algebra
ISBN,Price9783030761905
Keyword(s)1. ALGEBRAIC GEOMETRY 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. GEOMETRY, DIFFERENTIAL 8. MATHEMATICAL PHYSICS 9. QUANTUM FIELD THEORY
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I11645     On Shelf    

2.     
No image available
TitleAn Introduction to Integrable Techniques for One-Dimensional Quantum Systems
Author(s)Franchini, Fabio
PublicationCham, Springer International Publishing, 2017.
DescriptionXII, 180 p. 17 illus., 11 illus. in color : online resource
Abstract NoteThis book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model. Finally, the low energy physics of these integrable models is mapped into the corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later delve in the advance aspects of Bethe Ansatz or in an overview of the topic for broadening their culture
ISBN,Price9783319484877
Keyword(s)1. ALGEBRAIC GEOMETRY 2. CONDENSED MATTER 3. CONDENSED MATTER PHYSICS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I10202     On Shelf    

3.     
No image available
TitleQuantization, Geometry and Noncommutative Structures in Mathematics and Physics
Author(s)Cardona, Alexander;Morales, Pedro;Ocampo, Hern??n;Paycha, Sylvie;Reyes Lega, Andr??s F
PublicationCham, Springer International Publishing, 2017.
DescriptionX, 341 p. 6 illus : online resource
Abstract NoteThis monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics. The opening chapter introduces the various forms of quantization and their interactions with each other and with mathematics. A first approach to quantization, called deformation quantization, consists of viewing the Planck constant as a small parameter. This approach provides a deformation of the structure of the algebra of classical observables rather than a radical change in the nature of the observables. When symmetries come into play, deformation quantization needs to be merged with group actions, which is presented in chapter 2, by Simone Gutt. The noncommutativity arising from quantization is the main concern of noncommutative geometry. Allowing for the presence of symmetries requires working with principal fiber bundles in a non-commutative setup, where Hopf algebras appear naturally. This is the topic of chapter 3, by Christian Kassel. Nichols algebras, a special type of Hopf algebras, are the subject of chapter 4, by Nicol??s Andruskiewitsch. ?? The purely algebraic approaches given in the previous chapters do not take the geometry of space-time into account. For this purpose a special treatment using a more geometric point of view is required. An approach to field quantization on curved space-time, with applications to cosmology, is presented in chapter 5 in an account of the lectures of Abhay Ashtekar that brings a complementary point of view to non-commutativity. An alternative quantization procedure is known under the name of string theory. In chapter 6 its supersymmetric version is presented. Superstrings have drawn the attention of many mathematicians, due to its various fruitful interactions with algebraic geometry, some of which are described here. The remaining chapters discuss further topics, as the Batalin-Vilkovisky formalism and direct products of spectral triples. This volume addresses both physicists and mathematicians and serves as an introduction to ongoing research in very active areas of mathematics and physics at the border line between geometry, topology, algebra and quantum field theory
ISBN,Price9783319654270
Keyword(s)1. ALGEBRAIC GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. MATHEMATICAL PHYSICS 5. Quantum Field Theories, String Theory 6. QUANTUM FIELD THEORY 7. STRING THEORY
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I09980     On Shelf    

4.     
No image available
TitleDifferential Geometry and Mathematical Physics : Part II. Fibre Bundles, Topology and Gauge Fields
Author(s)Rudolph, Gerd;Schmidt, Matthias
PublicationDordrecht, Springer Netherlands, 2017.
DescriptionXVI, 830 p. 15 illus., 2 illus. in color : online resource
Abstract NoteThe book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks: - Geometry and topology of fibre bundles, - Clifford algebras, spin structures and Dirac operators, - Gauge theory. Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory. The first building block includes a number of specific topics, like invariant connections, universal connections, H-structures and the Postnikov approximation of classifying spaces. Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented. The gauge theory part contains the study of Yang-Mills equations (including the theory of instantons and the classical stability analysis), the discussion of various models with matter fields (including magnetic monopoles, the Seiberg-Witten model and dimensional reduction) and the investigation of the structure of the gauge orbit space. The final chapter is devoted to elements of quantum gauge theory including the discussion of the Gribov problem, anomalies and the implementation of the non-generic gauge orbit strata in the framework of Hamiltonian lattice gauge theory. The book is addressed both to physicists and mathematicians. It is intended to be accessible to students starting from a graduate level
ISBN,Price9789402409598
Keyword(s)1. ALGEBRAIC GEOMETRY 2. ALGEBRAIC TOPOLOGY 3. DIFFERENTIAL GEOMETRY 4. EBOOK 5. EBOOK - SPRINGER 6. Elementary particles (Physics) 7. Elementary Particles, Quantum Field Theory 8. Mathematical Methods in Physics 9. MATHEMATICAL PHYSICS 10. PHYSICS 11. QUANTUM FIELD THEORY
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I09737     On Shelf    

5.     
No image available
TitleAspects of Scattering Amplitudes and Moduli Space Localization
Author(s)Mizera, Sebastian
PublicationCham, Springer International Publishing, 2020.
DescriptionXVII, 134 p. 18 illus., 14 illus. in color : online resource
Abstract NoteThis thesis proposes a new perspective on scattering amplitudes in quantum field theories. Their standard formulation in terms of sums over Feynman diagrams is replaced by a computation of geometric invariants, called intersection numbers, on moduli spaces of Riemann surfaces. It therefore gives a physical interpretation of intersection numbers, which have been extensively studied in the mathematics literature in the context of generalized hypergeometric functions. This book explores physical consequences of this formulation, such as recursion relations, connections to geometry and string theory, as well as a phenomenon called moduli space localization. After reviewing necessary mathematical background, including topology of moduli spaces of Riemann spheres with punctures and its fundamental group, the definition and properties of intersection numbers are presented. A comprehensive list of applications and relations to other objects is given, including those to scattering amplitudes in open- and closed-string theories. The highlights of the thesis are the results regarding localization properties of intersection numbers in two opposite limits: in the low- and the high-energy expansion. In order to facilitate efficient computations of intersection numbers the author introduces recursion relations that exploit fibration properties of the moduli space. These are formulated in terms of so-called braid matrices that encode the information of how points braid around each other on the corresponding Riemann surface. Numerous application of this approach are presented for computation of scattering amplitudes in various gauge and gravity theories. This book comes with an extensive appendix that gives a pedagogical introduction to the topic of homologies with coefficients in a local system
ISBN,Price9783030530105
Keyword(s)1. ALGEBRAIC GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. MATHEMATICAL PHYSICS 7. QUANTUM FIELD THEORY 8. Theoretical, Mathematical and Computational Physics
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I09590     On Shelf    

6.     
No image available
TitleAlgebraic Structure of String Field Theory
Author(s)Doubek, Martin;Jur??o, Branislav;Markl, Martin;Sachs, Ivo
PublicationCham, Springer International Publishing, 2020.
DescriptionXI, 221 p. 49 illus., 3 illus. in color : online resource
Abstract NoteThis book gives a modern presentation of modular operands and their role in string field theory. The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view of homotopy algebras, including A-infinity algebras, loop homotopy (quantum L-infinity) and IBL-infinity algebras governing its structure. Within this framework, the covariant construction of a string field theory naturally emerges as composition of two morphisms of particular odd modular operads. This part is intended primarily for researchers and graduate students who are interested in applications of higher algebraic structures to strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy algebras in a broader context, which should appeal also to mathematicians who are not familiar with string theory
ISBN,Price9783030530563
Keyword(s)1. ALGEBRAIC GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. PHYSICS 7. Theoretical, Mathematical and Computational Physics
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I09528     On Shelf    

7.     
No image available
TitleSpectral Action in Noncommutative Geometry
Author(s)Eckstein, Micha??;Iochum, Bruno
PublicationCham, Springer International Publishing, 2018.
DescriptionXIV, 155 p. 3 illus : online resource
Abstract NoteWhat is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry ?? la Connes, deliberately unveiling the answers to these questions. After a brief preface flashing the panorama of the spectral approach, a concise primer on spectral triples is given. Chapter 2 is designed to serve as a toolkit for computations. The third chapter offers an in-depth view into the subtle links between the asymptotic expansions of traces of heat operators and meromorphic extensions of the associated spectral zeta functions. Chapter 4 studies the behaviour of the spectral action under fluctuations by gauge potentials. A subjective list of open problems in the field is spelled out in the fifth Chapter. The book concludes with an appendix including some auxiliary tools from geometry and analysis, along with examples of spectral geometries. The book serves both as a compendium for researchers in the domain of noncommutative geometry and an invitation to mathematical physicists looking for new concepts
ISBN,Price9783319947884
Keyword(s)1. Abstract Harmonic Analysis 2. ALGEBRAIC GEOMETRY 3. Classical and Quantum Gravitation, Relativity Theory 4. EBOOK 5. EBOOK - SPRINGER 6. Elementary particles (Physics) 7. Elementary Particles, Quantum Field Theory 8. GRAVITATION 9. HARMONIC ANALYSIS 10. Mathematical Methods in Physics 11. MATHEMATICAL PHYSICS 12. PHYSICS 13. QUANTUM FIELD THEORY
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I09061     On Shelf    

8.     
No image available
TitleLectures on Matrix Field Theory
Author(s)Ydri, Badis
PublicationCham, Springer International Publishing, 2017.
DescriptionXII, 352 p. 8 illus., 6 illus. in color : online resource
Abstract NoteThese lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries.?? The book initially focuses on the matrix formulation of non-commutative and fuzzy spaces, followed by a description of the non-perturbative treatment of the corresponding field theories. As an example, the phase structure of non-commutative phi-four theory is treated in great detail, with a separate chapter on the multitrace approach. The last chapter offers a general introduction to non-commutative gauge theories, while two appendices round out the text. Primarily written as a self-study guide for postgraduate students ??? with the aim of pedagogically introducing them to key analytical and numerical tools, as well as useful physical models in applications ??? these lecture notes will also benefit experienced researchers by providing a reference guide to the fundamentals of non-commutative field theory with an emphasis on matrix models and fuzzy geometries
ISBN,Price9783319460031
Keyword(s)1. ALGEBRAIC GEOMETRY 2. Computer science???Mathematics 3. EBOOK 4. EBOOK - SPRINGER 5. Math Applications in Computer Science 6. MATHEMATICAL PHYSICS 7. Quantum Field Theories, String Theory 8. QUANTUM FIELD THEORY 9. QUANTUM PHYSICS 10. STRING THEORY
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I08731     On Shelf    

9.     
No image available
TitleTheory of Spinors and Its Application in Physics and Mechanics
Author(s)Zhelnorovich, Vladimir A
PublicationCham, Springer International Publishing, 2019.
DescriptionXVI, 392 p : online resource
Abstract NoteThis book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces. The applications of spinors in field theory and relativistic mechanics of continuous media are considered. The main mathematical part is connected with the study of invariant algebraic and geometric relations between spinors and tensors. The theory of spinors and the methods of the tensor representation of spinors and spinor equations are thoroughly expounded in four-dimensional and three-dimensional spaces. Very useful and important relations are derived that express the derivatives of the spinor fields in terms of the derivatives of various tensor fields. The problems associated with an invariant description of spinors as objects that do not depend on the choice of a coordinate system are addressed in detail. As an application, the author considers an invariant tensor formulation of certain classes of differential spinor equations containing, in particular, the most important spinor equations of field theory and quantum mechanics. Exact solutions of the Einstein???Dirac equations, nonlinear Heisenberg???s spinor equations, and equations for relativistic spin fluids are given. The book presents a large body of factual material and is suited for use as a handbook. It is intended for specialists in theoretical physics, as well as for students and post-graduate students of physical and mathematical specialties
ISBN,Price9783030278366
Keyword(s)1. ALGEBRAIC GEOMETRY 2. COSMOLOGY 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHYSICS 10. QUANTUM FIELD THEORY
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I08606     On Shelf    

10.    
No image available
TitleComplex General Relativity
Author(s)Esposito, Giampiero
PublicationDordrecht, Springer Netherlands, 2002.
DescriptionXII, 206 p : online resource
Abstract NoteThis book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity. Calculations are presented by paying attention to those details normally omitted in research papers, for pedagogical r- sons. Familiarity with fibre-bundle theory is certainly helpful, but in many cases I only rely on two-spinor calculus and conformally invariant concepts in gravitational physics. The key concepts the book is devoted to are complex manifolds, spinor techniques, conformal gravity, ?-planes, ?-surfaces, Penrose transform, complex 3 1 ??? ??? space-time models with non-vanishing torsion, spin- fields and spin- potentials. 2 2 Problems have been inserted at the end, to help the reader to check his und- standing of these topics. Thus, I can find at least four reasons for writing yet another book on spinor and twistor methods in general relativity: (i) to write a textbook useful to - ginning graduate students and research workers, where two-component spinor c- culus is the unifying mathematical language
ISBN,Price9780306471186
Keyword(s)1. ALGEBRAIC GEOMETRY 2. Applications of Mathematics 3. APPLIED MATHEMATICS 4. Classical and Quantum Gravitation, Relativity Theory 5. DIFFERENTIAL GEOMETRY 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. GRAVITATION 10. MATHEMATICAL PHYSICS 11. PARTIAL DIFFERENTIAL EQUATIONS 12. Theoretical, Mathematical and Computational Physics
Item TypeeBook
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I10890     On Shelf    

(page:1 / 3) [#29]    Next Page   Last Page