Deforming Symmetric Product Orbifolds: A tale of moduli and higher spin currents

Abstract

We analyze how deforming symmetric product orbifolds of two-dimensional $\mathcal{N}=2$ conformal field theories by an exactly marginal operator lifts higher spin currents present at the orbifold point. We find on the one hand that these currents are universally lifted regardless of the underlying CFT. On the other hand the details of the lifting are surprisingly non-universal, with dependence on the central charge of the underlying CFT and the specific marginal operator in use. In the context of the AdS/CFT correspondence, our results illustrate the mechanism by which the stringy spectrum turns into a supergravity spectrum when moving through the moduli space. They also provide further evidence that symmetric product orbifolds of $\mathcal{N}=2$ minimal models are holographic.

47 pages, v2: minor changes, v3: version as published in JHEP

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Cited by in corpus (16)

• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• Perturbing the symmetric orbifold from the worldsheet
• The Stranger Things of Symmetric Product Orbifold CFTs
• Transport across interfaces in symmetric orbifolds
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• Dynamical evolution in the D1D5 CFT
• Bootstrapping the effect of the twist operator in symmetric orbifold CFTs
• Coupled minimal models revisited II: Constraints from permutation symmetry
• Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Conformal field theories dual to quantum gravity with strongly coupled matter
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• Searching for strongly coupled AdS matter with multi-trace deformations
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality