Higher obstructions to conformal boundary conditions and lattice realizations

Ruizhi Liu; Weicheng Ye

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arXiv · 2411.11757

Higher obstructions to conformal boundary conditions and lattice realizations

Ruizhi Liu·Weicheng Ye

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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.

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Ruizhi Liu, Weicheng Ye. 2024-11-18. Higher obstructions to conformal boundary conditions and lattice realizations. https://arxiv.org/abs/2411.11757

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