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Perturbing the symmetric orbifold from the worldsheet
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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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Cited by 1 Pith paper
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The Triplet Perturbation of the Symmetric Orbifold
The triplet perturbation of the T4 symmetric orbifold is shown to preserve the same integrable structure as the singlet and is identified with the self-dual R-R 2-form modulus in AdS3/CFT2.
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