Work

CFTs with large gap from Barnes-Wall lattice orbifolds

Year: 2026

Type: article

Abstract: A bstract 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 ω 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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep04(2026)009

Authors: Christoph A. Keller, Ashley Winter Roberts, Jeremy Roberts

Institution: University of Arizona

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Simons Foundation

Awards: Conformal Field Theories in Holography and String Theory, G5295645357