Branes and DAHA Representations.

Bibliographic Details
Main Author: Gukov, Sergei.
Other Authors: Koroteev, Peter., Nawata, Satoshi., Pei, Du., Saberi, Ingmar.
Format: eBook
Language:English
Published: Cham : Springer, 2023.
Edition:1st ed.
Series:SpringerBriefs in Mathematical Physics Series
Subjects:
Online Access:Click to View
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100 1 |a Gukov, Sergei. 
245 1 0 |a Branes and DAHA Representations. 
250 |a 1st ed. 
264 1 |a Cham :  |b Springer,  |c 2023. 
264 4 |c Ã2023. 
300 |a 1 online resource (147 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a SpringerBriefs in Mathematical Physics Series ;  |v v.48 
505 0 |a Intro -- Contents -- 1 Introduction -- 1.1 Background -- 1.2 Results -- 1.3 Structure -- 2 2d Sigma-Models and DAHA -- 2.1 Higgs Bundles and Flat Connections -- 2.2 DAHA of Rank One and Its Spherical Algebra -- 2.3 Canonical Coisotropic Branes in A-models -- 2.3.1 Spherical DAHA as the Algebra of (mathfrakBcc,mathfrakBcc)-Strings -- 2.4 Lagrangian A-Branes and Modules of mathscrOq(mathfrakX) -- 2.5 (A,B,A)-Branes for Polynomial Representations -- 2.6 Branes with Compact Supports and Finite-Dimensional Representations: Object Matching -- 2.6.1 Generic Fibers of the Hitchin Fibration -- 2.6.2 Irreducible Components in Singular Fibers of Type I2 -- 2.6.3 Moduli Space of G-Bundles -- 2.6.4 Exceptional Divisors -- 2.7 Bound States of Branes and Short Exact Sequences: Morphism Matching -- 2.7.1 At Singular Fiber of Type I2 -- 2.7.2 At Global Nilpotent Cone of Type I0* -- 3 3d Theories and Modularity -- 3.1 DAHA and Modularity -- 3.1.1 SU(2): Refined Chern-Simons and TQFT Associated to Argyres-Douglas Theory -- 3.1.2 SU(N): Higher Rank Generalization -- 3.2 Relation to Skein Modules and MTC[M3] -- 4 4d Theories, Fivebranes, and M-Theory -- 4.1 Coulomb Branches of 4d N=2* Theories of Rank One -- 4.2 Algebra of Line Operators -- 4.3 Including Surface Operator -- Appendix A Glossary of Symbols -- Appendix B Basics of DAHA -- B.1 DAHA -- B.1.1 Double Affine Braid Group and Double Affine Weyl Group -- B.1.2 PBW Theorem for DAHA -- B.1.3 Spherical Subalgebra -- B.1.4 Braid Group and SL(2,mathbbZ) Action -- B.1.5 Polynomial Representation of DAHA -- B.1.6 Symmetric Bilinear Form -- B.1.7 Degenerations -- B.2 DAHA of Type A1 -- B.2.1 Polynomial Representation -- B.2.2 Functional Representation -- B.2.3 Trigonometric Cherednik Algebra of Type A1 -- B.2.4 Rational Cherednik Algebra of Type A1 -- Appendix C Quantum Torus Algebra. 
505 8 |a C.1 Representations of Quantum Torus Algebra -- C.1.1 Unitary Representations -- C.1.2 Non-unitary Representations -- C.1.3 Geometric Viewpoint -- C.2 Branes for Quantum Torus Algebra -- C.2.1 Cyclic Representations -- C.2.2 Polynomial Representations -- C.3 Symmetrized Quantum Torus -- C.3.1 Representation Theory -- C.3.2 Corresponding Branes -- Appendix D 3d mathcalN=4 Theories and Cherednik Algebras -- D.1 Coulomb Branches of 3d mathcalN=4 Theories -- D.2 3d mathcalN=4 Coulomb Branches and Cherednik Algebras -- Appendix References. 
588 |a Description based on publisher supplied metadata and other sources. 
590 |a Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2023. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.  
655 4 |a Electronic books. 
700 1 |a Koroteev, Peter. 
700 1 |a Nawata, Satoshi. 
700 1 |a Pei, Du. 
700 1 |a Saberi, Ingmar. 
776 0 8 |i Print version:  |a Gukov, Sergei  |t Branes and DAHA Representations  |d Cham : Springer,c2023  |z 9783031281532 
797 2 |a ProQuest (Firm) 
830 0 |a SpringerBriefs in Mathematical Physics Series 
856 4 0 |u https://ebookcentral.proquest.com/lib/matrademy/detail.action?docID=30733647  |z Click to View