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arXiv · 2611.08934

AdS${}_3$/BCFT${}_2$ correspondence and 't Hooft anomaly of U(1) symmetry

Hikaru Toya·Satoshi Yamaguchi
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Abstract

We investigate how a U(1) 't Hooft anomaly obstructs symmetry-preserving boundary conditions from the perspective of the AdS${}_3$/BCFT${}_2$ correspondence. By considering a U(1) Maxwell--Chern--Simons system in the bulk spacetime, we show that the BCFT current is not conserved at the boundary. We also derive the general solution for the gauge field in AdS${}_2$ slicing.

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Hikaru Toya, Satoshi Yamaguchi. 2026-11-06. AdS${}_3$/BCFT${}_2$ correspondence and 't Hooft anomaly of U(1) symmetry. https://arxiv.org/abs/2611.08934

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