On the resolution of categorical symmetries in (non-) unitary rational CFTs
Arpan Bhattacharyya, Saptaswa Ghosh, Sounak Pal, Jagannath Santara
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 [Y. Choi et al., Phys. Rev. Lett. 133, 251602 (2024)]). 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