arXiv subjects

Ashley Winter Roberts

Publications and source records attributed to Ashley Winter Roberts.

2 recordsLinked to original sources

arXiv2026

CFTs with Large Gap from Barnes-Wall Lattice Orbifolds

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.

hep-th↗

arXiv2025

Sparse Modular Forms, Lattices, and Codes

Motivated by sparseness conditions for holographic CFTs, we investigate sparseness of modular forms, lattices, and codes. For this we investigate the free energy of such objects as their weight, dimension or size goes to infinity. We construct families of modular forms that are sparse, such as the Eisenstein series $E_{2k}(τ)$. We then investigate lattices that come from codes and introduce a sparseness condition for such lattices. We investigate the limit of lattices constructed from self-dual Reed-Muller codes and provide evidence that they are sparse in this sense.

hep-th↗