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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 categorical symmetry-resolved entanglement entropy (SREE) directly within two-dimensional rational conformal field theory (RCFT) (without invoking any SymTFT construction arXiv:2409.02806). We derive a general formula applicable whenever the action of the relevant topological defect lines on the annulus Hilbert space is known. This framework accommodates weakly and strongly symmetric boundaries, cloaking states, and fusion rings with multiplicities. We verify the formula in a range of diagonal unitary and non-unitary examples, including theories with generalized Haagerup-Izumi modular data. Furthermore, we extend the analysis to non-diagonal RCFTs. The $\frac{1}{2}E_6$ example demonstrates that closed-channel modular data and NIM-rep multiplicities alone do not suffice to determine the defect action on the complete open-channel Hilbert space.

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Arpan Bhattacharyya, Saptaswa Ghosh, Sounak Pal, Jagannath Santara. 2026-09-21. On the resolution of categorical symmetries in (Non-) Unitary Rational CFTs. https://arxiv.org/abs/2511.16363

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