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A<sc>bstract</sc> We consider the 𝒩 = (2, 2) AdS3/CFT2dualities proposed by Eberhardt, where the bulk geometry is AdS3× (S3×T4)/ℤk, and the CFT is a deformation of the symmetric orbifold of the supersymmetric sigma modelT4/ℤk(withk= 2, 3, 4, 6). The elliptic genera of the two sides vanish due to fermionic zero modes, so for microstate counting applications one must consider modified supersymmetric indices. In an analysis similar to that of Maldacena, Moore, and Strominger for the standard 𝒩 = (4, 4) case ofT4, we study the appropriate helicity-trace index of the boundary CFTs. We encounter a strange phenomenon where a saddle-point analysis of our indices reproduces only a fraction (respectively$$ \frac{1}{2} $$ ,$$ \frac{2}{3} $$ ,$$ \frac{3}{4} $$ ,$$ \frac{5}{6} $$ ) of the Bekenstein-Hawking entropy of the associated macroscopic black branes.
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Non-invertible symmetries in SN orbifold CFTs and holography
We study non-invertible defects in two-dimensionalSNorbifold CFTs. We construct universal defects which do not depend on the details of the seed CFT and hence exist in any orbifold CFT. Additionally, we investigate non-universal defects arising from the topological defects of the seed CFT. We argue that there exist universal defects that are non-trivial in the large-Nlimit, making them relevant for the AdS3/CFT2correspondence. We then focus on AdS3×S3×$$ {\mathcal{M}}_4 $$ with one unit of NS-NS flux and propose an explicit realization of these defects on the worldsheet.
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- Award ID(s):
- 2209700
- PAR ID:
- 10630093
- Publisher / Repository:
- Springer
- Date Published:
- Journal Name:
- Journal of High Energy Physics
- Volume:
- 2024
- Issue:
- 9
- ISSN:
- 1029-8479
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Journal Article:
- https://doi.org/10.1007/JHEP09(2024)110
