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arXiv · 2212.12342

Perturbing the symmetric orbifold from the worldsheet

Marc-Antoine Fiset·Matthias R. Gaberdiel·Kiarash Naderi·Vit Sriprachyakul
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Abstract

The symmetric orbifold of $\mathbb{T}^4$ is the analogue of free SYM in four dimensions, and its dual is described by a tensionless string propagating in ${\rm AdS}_3\times {\rm S}^3 \times \mathbb{T}^4$. In this paper we study the deformation of this exact AdS/CFT duality away from the free point. On the symmetric orbifold side this amounts to perturbing the theory by the exactly marginal operator from the $2$-cycle twisted sector. We identify the corresponding perturbation in the dual worldsheet description, and show that the anomalous conformal dimensions of a number of symmetric orbifold currents are correctly reproduced from this worldsheet perspective.

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Marc-Antoine Fiset, Matthias R. Gaberdiel, Kiarash Naderi, Vit Sriprachyakul. 2022-12-23. Perturbing the symmetric orbifold from the worldsheet. https://doi.org/10.1007/jhep07(2023)093

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