Semantic Scholar Open Access 2022 85 sitasi

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

Ying-Hsuan Lin Masaki Okada Sahand Seifnashri Yuji Tachikawa

Lihat Sumber DOI

Abstrak

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

Physics

Penulis (4)

Ying-Hsuan Lin

Masaki Okada

Sahand Seifnashri

Yuji Tachikawa

Format Sitasi

APA MLA BibTeX

Lin, Y., Okada, M., Seifnashri, S., Tachikawa, Y. (2022). Asymptotic density of states in 2d CFTs with non-invertible symmetries. https://doi.org/10.1007/JHEP03(2023)094

Akses Cepat

Lihat di Sumber doi.org/10.1007/JHEP03(2023)094

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Total Sitasi: 85×
Sumber Database: Semantic Scholar
DOI: 10.1007/JHEP03(2023)094
Akses: Open Access ✓