- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
This volume contains the proceedings of the thematic program on ""Quantum symmetries: Tensor categories, topological quantum field theories, and vertex algebras"" held from October 10 -November 4, 2022, at the Centre de Recherches Mathematiques, Montreal, Quebec, Canada. Quantum symmetries is a rapidly expanding area in which tensor categories are applied to mathematical physics, in particular, to conformal and topological quantum field theories. These fields, in turn, connect to a huge variety of modern mathematics, including representation theory, vertex operator algebras, Hopf algebras, link and knot invariants, geometry, subfactors, combinatorics, and so much more. The thematic program on quantum symmetries featured advanced lecture courses and research seminars by international leaders of their respective fields. This proceedings volume is centered on the active research of the area, but also includes an in-depth survey of one of the main topics, $W$-algebras.
Contents
Articles
Jethro van Ekeren, Affine $W$-algebras
Justine Fasquel, OPEs of rank two $W$-algebras
Andrew Riesen, Fusion rings acting on vertex operator algebras: First steps
Alissa Furet and Theo Johnson-Freyd, Ground-state degeneracy of twisted sectors of Conway moonshine SCFT
Simon Lentner, Combinatorial principles that enforce a group structure
Eric C. Rowell, Hannah Solomon and Qing Zhang, On near-group centers and super-modular categories
Andrew Schopieray, Fixed-point-free fusion automorphisms
Theo Johnson-Freyd, $(3 1)D$ topological orders with only a $\mathbb {Z}_2$-charged particle
Jurgen Fuchs, Gregor Schaumann, Christoph Schweigert and Simon Wood, Grothendieck-Verdier duality in categories of bimodules and weak module functors
Christian Blanchet, Martin Palmer and Awais Shaukat, Action of subgroups of the mapping class group on Heisenberg homologies
Daniel Berwick-Evans, Emily Cliff, Laura Murray, Apurva Nakade and Emma Phillips, Flat principal 2-group bundles and flat string structures
Jin-Cheng Guu, Categorical center of higher genera
Joseph Vulakh, Twisted homogeneous racks over the alternating groups
