CFTs with Large Gap from Barnes-Wall Lattice Orbifolds

Autor:	Keller, Christoph A., Roberts, Ashley Winter, Roberts, Jeremy
Rok vydání:	2024
Předmět:	High Energy Physics - Theory Mathematics - Quantum Algebra
Druh dokumentu:	Working Paper
Popis:	We investigate orbifolds of lattice conformal field theories with the goal of constructing theories with large gap. We consider Barnes-Wall lattices, which are a family of lattices with no short vectors, and orbifold by an extraspecial 2-group of lattice automorphisms. To construct the orbifold CFT, we investigate the orbifold vertex operator algebra and its twisted modules. To obtain a holomorphic CFT, a certain anomaly 3-cocycle $\omega$ needs to vanish; based on evidence we provide, we conjecture that it indeed does. Granting this conjecture, we construct a holomorphic CFT of central charge 128 with gap 4. Comment: 27 pages. Ancillary Mathematica and Magma files
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.13646 Zobrazit plný text záznamu View this record from Arxiv