Higher obstructions to conformal boundary conditions and lattice realizations
High Energy Physics - Theory
2025-05-27 v2 Strongly Correlated Electrons
Mathematical Physics
math.MP
Abstract
Although it is long believed that vanishing of chiral central charges of a 2d conformal field theory (CFT) implies the existence of conformal boundary conditions, there are yet higher obstructions. In this paper, we focus on 2d rational CFTs, for which we identify a series of obstructions, known as higher central charges. We also discuss its implication for lattice realizations and the generalization with global symmetries.
Keywords
Cite
@article{arxiv.2411.11757,
title = {Higher obstructions to conformal boundary conditions and lattice realizations},
author = {Ruizhi Liu and Weicheng Ye},
journal= {arXiv preprint arXiv:2411.11757},
year = {2025}
}
Comments
The proof in this paper is incorrect and the original conjecture remains open