Higher obstructions to conformal boundary conditions and lattice realizations

Fuente: arXiv
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Hauptverfasser: Liu, Ruizhi, Ye, Weicheng
Format: Preprint
Veröffentlicht: 2024
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author Liu, Ruizhi
Ye, Weicheng
author_facet Liu, Ruizhi
Ye, Weicheng
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_11757
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Higher obstructions to conformal boundary conditions and lattice realizations
Liu, Ruizhi
Ye, Weicheng
High Energy Physics - Theory
Strongly Correlated Electrons
Mathematical Physics
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.
title Higher obstructions to conformal boundary conditions and lattice realizations
topic High Energy Physics - Theory
Strongly Correlated Electrons
Mathematical Physics
url https://arxiv.org/abs/2411.11757