Perturbing the symmetric orbifold from the worldsheet

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 ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$. 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.

27 pages, 1 figure

References in corpus (11)

• String correlators on ${\text{AdS}}_3$: Three-point functions
• Fusion in Fractional Level sl^(2)-Theories with k=-1/2
• The String Dual to Free $\mathcal{N}=4$ Super Yang-Mills
• String correlators on ${\text{AdS}}_3$: Analytic structure and dual CFT
• Deforming Symmetric Product Orbifolds: A tale of moduli and higher spin currents
• BPS Correlators for ${\text{AdS}}_3/{\text{CFT}}_2$
• Symmetries of perturbed conformal field theories
• Matrix factorisations and D-branes on K3
• Stress-energy tensor correlators from the world-sheet
• DDF operators in the Hybrid Formalism
• The physical states of the Hybrid Formalism

Cited by in corpus (6)

• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• Symmetries and Covering Maps for the Minimal Tension String on $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3\times {\mathbf{T}}^4$
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Space-time symmetry from the world-sheet
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$