Partition functions and automorphic forms. (2020)

• Record Type: Book
• Further Information: Note: Valery A. Gritsenko, Vyacheslav P. Spiridonov, editors.
• Other Names: Gritsenko, Valery A; Spiridonov, V. P (Vyacheslav P.)
• Contents: Intro -- Preface to the Book Series Moscow Lectures -- Preface -- Contents -- A Short Introduction to the Algebra, Geometry, Number Theory and Physics of Moonshine -- Contents -- 1 Elliptic Curves -- 2 Supersingular Elliptic Curves -- 3 Ogg's Observation -- 4 Complex Elliptic Curves -- 5 Monstrous Moonshine -- 6 Elliptic Curves with Level -- 7 Affine Lie Algebras -- 8 Modular Forms -- 9 Vertex Operators -- 10 Conformal Field Theory -- 11 The Monster Module -- 12 Affinization -- 13 Vertex Algebras -- 14 Vertex Operator Algebras -- 15 Orbifolds -- 16 The Genus Zero Problem -- 17 Super Structure 3.2 Exact Formulae for MWG for Dimension d=6, 7, 9 and Rank r<d -- 3.3 Relations Between -Genera -- 3.4 Vector Bundle of Rank 2 -- 4 A2(2)-Genus -- References -- Superconformal Indices and Instanton Partition Functions -- Contents -- 1 Introduction -- 2 Instanton Partition Functions: Basics and Calculus -- 3 Instantons in 5d QFTs -- 3.1 5d Instantons for 5d SCFTs -- 3.2 5d Instantons for 6d SCFTs on S1 -- 4 Instanton Strings in 6d QFTs -- 4.1 Strings of 6d N=(2, 0) Theories -- 4.2 Strings of 6d N=(1, 0) Theories -- 5 Superconformal Observables -- 5.1 6d (2, 0) Index and its Physics 5.2 5d Index and its Physics -- 6 Conclusion -- References -- On Spinorial Representations of Involutory Subalgebras of Kac-Moody Algebras -- Contents -- 1 Introduction -- 2 Involutory Subalgebras of Kac-Moody Algebras -- 2.1 Basic Definitions -- 2.2 Maximal Compact Subalgebras -- 3 Spin Representations -- 3.1 The Simply-Laced Case -- 3.1.1 AEd and K(AEd) (d>3) -- 3.1.2 E10 and K(E10) -- 3.1.3 DE10 and K(DE10) -- 3.2 The Non-simply-laced Case -- 3.2.1 AE3 and K(AE3) -- 3.2.2 G2++ and K(G2++) -- 3.2.3 BE10 and K(BE10) -- 4 Quotients -- 4.1 Spin-12 Quotients in AEd 4.2 Quotient Algebras for K(E10) -- 4.2.1 Spin-32 -- 4.2.2 Spin-52 and Spin-72 -- 4.3 General Remarks on the Quotients -- 5 K(E10) and Standard Model Fermions -- References -- BPS Spectra and Invariants for Three- and Four-Manifolds -- Contents -- 1 Introduction -- 2 Three-Manifolds and the Categorification of WRT Invariants -- 2.1 Fivebranes on Three-Manifolds and Categorification of WRT Invariant -- 2.1.1 Preliminaries -- 2.1.2 D2S1 Partition Function of T[M3] and WRT Invariant -- 2.1.3 Superconformal Index of T[M3] and Its Factorization -- 2.1.4 Further Refinement
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource
• Subjects: 512.7/3; Partitions (Mathematics); Automorphic forms; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030424008; 3030424006
• Related ISBNs: 3030423999; 9783030423995
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.