DOAJ Open Access 2023

Asymptotic density of states in 2d CFTs with non-invertible symmetries

Ying-Hsuan Lin Masaki Okada Sahand Seifnashri Yuji Tachikawa

Abstrak

Abstract It is known that the asymptotic density of states of a 2d CFT in an irreducible representation ρ of a finite symmetry group G is proportional to (dim ρ)2. We show how this statement can be generalized when the symmetry can be non-invertible and is described by a fusion category C $$ \mathcal{C} $$ . 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.

Topik & Kata Kunci

Nuclear and particle physics. Atomic energy. Radioactivity

Penulis (4)

Ying-Hsuan Lin

Masaki Okada

Sahand Seifnashri

Yuji Tachikawa

Format Sitasi

APA MLA BibTeX

Lin, Y., Okada, M., Seifnashri, S., Tachikawa, Y. (2023). Asymptotic density of states in 2d CFTs with non-invertible symmetries. https://doi.org/10.1007/JHEP03(2023)094

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1007/JHEP03(2023)094
Akses: Open Access ✓