| Autor: |
Yichul Choi, Da-Chuan Lu, Zhengdi Sun |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Journal of High Energy Physics, Vol 2024, Iss 1, Pp 1-55 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP01(2024)142 |
| Popis: |
Abstract We discuss two-dimensional conformal field theories (CFTs) which are invariant under gauging a non-invertible global symmetry. At every point on the orbifold branch of c = 1 CFTs, it is known that the theory is self-dual under gauging a ℤ2 × ℤ2 symmetry, and has Rep(H 8) and Rep(D 8) fusion category symmetries as a result. We find that gauging the entire Rep(H 8) fusion category symmetry maps the orbifold theory at radius R to that at radius 2/R. At R = 2 $$ \sqrt{2} $$ , which corresponds to two decoupled Ising CFTs (Ising2 in short), the theory is self-dual under gauging the Rep(H 8) symmetry. This implies the existence of a topological defect line in the Ising2 CFT obtained from half-space gauging of the Rep(H 8) symmetry, which commutes with the c = 1 Virasoro algebra but does not preserve the fully extended chiral algebra. We bootstrap its action on the c = 1 Virasoro primary operators, and find that there are no relevant or marginal operators preserving it. Mathematically, the new topological line combines with the Rep(H 8) symmetry to form a bigger fusion category which is a ℤ2-extension of Rep(H 8). We solve the pentagon equations including the additional topological line and find 8 solutions, where two of them are realized in the Ising2 CFT. Finally, we show that the torus partition functions of the Monster2 CFT and Ising×Monster CFT are also invariant under gauging the Rep(H 8) symmetry. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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