Engineering Perturbative String Duals for Symmetric Product Orbifold CFTs

Yasuaki Hikida; Volker Schomerus

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arXiv · 2312.05317

Engineering Perturbative String Duals for Symmetric Product Orbifold CFTs

Yasuaki Hikida·Volker Schomerus

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Abstract

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.

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BibTeX RIS

Yasuaki Hikida, Volker Schomerus. 2024-06-03. Engineering Perturbative String Duals for Symmetric Product Orbifold CFTs. https://arxiv.org/abs/2312.05317

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