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Asymptotic density of states in 2d CFTs with non-invertible symmetries
- Publication Year :
- 2022
-
Abstract
- It is known that the asymptotic density of states of a 2d CFT in an irreducible representation $\rho$ of a finite symmetry group $G$ is proportional to $(\dim\rho)^2$. We show how this statement can be generalized when the symmetry can be non-invertible and is described by a fusion category $\mathcal{C}$. Along the way, we explain what plays the role of a representation of a group in the case of a fusion category symmetry; the answer to this question is already available in the broader mathematical physics literature but not yet widely known in hep-th. This understanding immediately implies a selection rule on the correlation functions, and also allows us to derive the asymptotic density.<br />Comment: 42 pages; v2: minor revision; v3: published version
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2208.05495
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP03(2023)094