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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.07321 |
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| _version_ | 1866910378194108416 |
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| author | Kames-King, Joshua Kanargias, Alexandros Knighton, Bob Usatyuk, Mykhaylo |
| author_facet | Kames-King, Joshua Kanargias, Alexandros Knighton, Bob Usatyuk, Mykhaylo |
| contents | We consider the ensemble average of two dimensional symmetric product orbifold CFTs $\text{Sym}^N(\mathbb{T}^D)$ over the Narain moduli space. We argue for a bulk dual given by $N$ copies of an abelian Chern-Simons theory coupled to topological gravity, endowed with a discrete gauge symmetry exchanging the $N$ copies. As a check of this proposal, we calculate the ensemble average of various partition and correlation functions of the symmetric product orbifold theory and compare the resulting expressions to gauge theory quantities in the bulk. We comment on the ensemble average of the tensionless string partition function on $\text{AdS}_3 \times \text{S}^3 \times \mathbb T^4$ by considering the specific case of $D=4$ with the addition of supersymmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07321 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Lion, the Witch, and the Wormhole: Ensemble averaging the symmetric product orbifold Kames-King, Joshua Kanargias, Alexandros Knighton, Bob Usatyuk, Mykhaylo High Energy Physics - Theory We consider the ensemble average of two dimensional symmetric product orbifold CFTs $\text{Sym}^N(\mathbb{T}^D)$ over the Narain moduli space. We argue for a bulk dual given by $N$ copies of an abelian Chern-Simons theory coupled to topological gravity, endowed with a discrete gauge symmetry exchanging the $N$ copies. As a check of this proposal, we calculate the ensemble average of various partition and correlation functions of the symmetric product orbifold theory and compare the resulting expressions to gauge theory quantities in the bulk. We comment on the ensemble average of the tensionless string partition function on $\text{AdS}_3 \times \text{S}^3 \times \mathbb T^4$ by considering the specific case of $D=4$ with the addition of supersymmetry. |
| title | The Lion, the Witch, and the Wormhole: Ensemble averaging the symmetric product orbifold |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2306.07321 |