Vertex Operator Algebras and Related Areas.

Intro -- Contents -- Preface -- Biography of Geoffrey Mason -- List of Ph.D. Students Advised by Geoffrey Mason -- List of Talks -- List of Participants -- An Analogue of Modular BPZ-Equation in Logarithmic (Super)Conformal Field Theory -- Vector-Valued Modular Forms -- Alternate Notions of N=1 Superconformality and Deformations of N=1 Vertex Superalgebras -- Hyperbolic Weyl Groups and the Four Normed Division Algebras -- 1. Introduction -- 2. General Structure -- 3. Explicit Example: A2++ -- 4. Explicit Example: D4++ -- 5. Explicit Example: E8++ -- 6. More results -- References -- Zhu's Algebra, the C2 Algebra, and Twisted Modules -- Fusion Algebras for Vertex Operator Algebras and Finite Groups -- Rooted Trees and Symmetric Functions: Zhao's Homomorphism and the Commutative Hexagon -- Representations of Vertex Operator Algebras and Braided Finite Tensor Categories -- Recurrences and Characters of Feigin-Stoyanovsky's Type Subspaces -- The FLM Conjecture and Framed VOA -- On Quantum Vertex Algebras and Their Modules -- Introduction to Invariant Chiral Differential Operators -- Dynkin Operators and Renormalization Group Actions in pQFT -- New Perspectives on Exponentiated Derivations, the Formal Taylor Theorem, and Faà Di Bruno's Formula -- Combinatorial Bases of Feigin-Stoyanovsky's Type Subspaces for ˜sll+1(C) -- Exceptional Vertex Operator Algebras and the Virasoro Algebra.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.