Engineering Perturbative String Duals for Symmetric Product Orbifold CFTs
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866911899516403712 |
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| author | Hikida, Yasuaki Schomerus, Volker |
| author_facet | Hikida, Yasuaki Schomerus, Volker |
| contents | Constructing a holographic string theory dual for a CFT in the perturbative, weakly coupled regime is a holy grail for gauge/string dualities that would not only open the door for proofs of the AdS/CFT correspondence but could also provide novel examples of string duals with and without supersymmetry. In this work we consider some marginal perturbation of a family of symmetric product orbifolds in two dimensions. From their correlation functions we engineer a bosonic string theory whose amplitudes are shown to reproduce the CFT correlation function order-by-order both in the coupling and in $1/N$. Our derivation does not require to compute and compare correlation functions explicitly but rather relies on a sequence of identities that can be derived using path integral methods. The bosonic string theory we engineer is based on the field content of the Kac-Wakimoto representation of strings in $AdS_3$ with $k$ units of pure NSNS flux, but the interaction terms we obtain are different. They include current algebra preserving interaction terms with one unit of spectral flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_05317 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Engineering Perturbative String Duals for Symmetric Product Orbifold CFTs Hikida, Yasuaki Schomerus, Volker High Energy Physics - Theory Constructing a holographic string theory dual for a CFT in the perturbative, weakly coupled regime is a holy grail for gauge/string dualities that would not only open the door for proofs of the AdS/CFT correspondence but could also provide novel examples of string duals with and without supersymmetry. In this work we consider some marginal perturbation of a family of symmetric product orbifolds in two dimensions. From their correlation functions we engineer a bosonic string theory whose amplitudes are shown to reproduce the CFT correlation function order-by-order both in the coupling and in $1/N$. Our derivation does not require to compute and compare correlation functions explicitly but rather relies on a sequence of identities that can be derived using path integral methods. The bosonic string theory we engineer is based on the field content of the Kac-Wakimoto representation of strings in $AdS_3$ with $k$ units of pure NSNS flux, but the interaction terms we obtain are different. They include current algebra preserving interaction terms with one unit of spectral flow. |
| title | Engineering Perturbative String Duals for Symmetric Product Orbifold CFTs |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.05317 |