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Jul 14 – 18, 2025
Yukawa Institute for Theoretical Physics, Kyoto University
Asia/Tokyo timezone

Arpit Das: Anomalies and Entanglement: Twist Field Approach to Non-Invertible Symmetries in RCFTs

Jul 14, 2025, 4:00 PM
30m
Panasonic Auditorium, Yukawa Hall (Yukawa Institute for Theoretical Physics, Kyoto University)

Panasonic Auditorium, Yukawa Hall

Yukawa Institute for Theoretical Physics, Kyoto University

Kitashirakawa Oiwake-Cho, Sakyo-Ku, Kyoto 606-8502 Japan

Description

In this talk, I will present an approach to Symmetry Resolved Entanglement Entropy based on the twist field formalism. I will construct twist fields corresponding to non-invertible symmetries in two-dimensional Rational Conformal Field Theories (RCFTs) and demonstrate their connection to 't Hooft anomalies. These anomalies, manifesting as the absence of scalar primaries in twisted symmetry sectors, pose a fundamental obstruction to the construction of the twist fields -- and hence to the resolution of entanglement entropy by symmetry sectors. I will then compare the symmetry resolved entanglement entropy computed via the twist field approach with results obtained through the boundary CFT framework, for both conventional and non-invertible symmetries.

Presentation materials

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