000			04116nam a22004693i 4500
001			EBC30733647
003			MiAaPQ
005			20240122002158.0
006			m o d |
007			cr cnu||||||||
008			231124s2023 xx o ||||0 eng d
020			_a9783031281549 _q(electronic bk.)
020			_z9783031281532
035			_a(MiAaPQ)EBC30733647
035			_a(Au-PeEL)EBL30733647
035			_a(OCoLC)1396269566
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQC19.2-20.85
100	1		_aGukov, Sergei.
245	1	0	_aBranes and DAHA Representations.
250			_a1st ed.
264		1	_aCham : _bSpringer, _c2023.
264		4	_c�2023.
300			_a1 online resource (147 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aSpringerBriefs in Mathematical Physics Series ; _vv.48
505	0		_aIntro -- 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		_aC.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			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic 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	_aElectronic books.
700	1		_aKoroteev, Peter.
700	1		_aNawata, Satoshi.
700	1		_aPei, Du.
700	1		_aSaberi, Ingmar.
776	0	8	_iPrint version: _aGukov, Sergei _tBranes and DAHA Representations _dCham : Springer,c2023 _z9783031281532
797	2		_aProQuest (Firm)
830		0	_aSpringerBriefs in Mathematical Physics Series
856	4	0	_uhttps://ebookcentral.proquest.com/lib/bacm-ebooks/detail.action?docID=30733647 _zClick to View
999			_c317040 _d317040