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arXiv · 2511.16363

On the resolution of categorical symmetries in (Non-) Unitary Rational CFTs

Arpan Bhattacharyya·Saptaswa Ghosh·Sounak Pal·Jagannath Santara
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Abstract

We explore several aspects of the categorical symmetry-resolved entanglement entropy (SREE) in two-dimensional Rational Conformal Field Theories (RCFTs) and express it directly in terms of the modular data of the theory. Motivated by arXiv:2409.02806, we provide a general formula for SREE that applies to symmetric (weakly/strongly) and cloaking boundary conditions as well as for fusion rings with multiplicities without invoking any SymTFT construction, relying instead on a purely 2d RCFT analysis. We check the formula against several explicit examples. Additionally, we study symmetry resolution for both categorical and invertible symmetries in (non-)diagonal RCFTs and comment on the subtleties that arise in these cases. Finally, we extend our analysis to diagonal non-unitary RCFTs, focusing on theories with generalized Haagerup-Izumi modular data, and find full agreement with the given formula.

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Arpan Bhattacharyya, Saptaswa Ghosh, Sounak Pal, Jagannath Santara. 2025-11-20. On the resolution of categorical symmetries in (Non-) Unitary Rational CFTs. https://arxiv.org/abs/2511.16363

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