Stringy $\mathcal{N}=(2,2)$ holography for AdS${}_3$

Abstract

We propose a class of ${\mathrm{AdS}}_3/{\mathrm{CFT}}_2$ dualities with $\mathcal{N}=(2,2)$ supersymmetry. These dualities relate string theory on ${\mathrm{AdS}}_3\times ({\mathrm{S}}^3\times {\mathbb{T}}^4)/\mathrm{G}$ to marginal deformations of the symmetric product orbifold of ${\mathbb{T}}^4/\mathrm{G}$, where $\mathrm{G}$ is a dihedral group. We demonstrate that the BPS spectrum calculated from supergravity and string theory agrees with that of the dual CFT. Moreover, the supergravity elliptic genus is shown to reproduce the CFT answer, thus providing further non-trivial evidence in favour of the proposal.

38 pages; v3: published version; v4: typos fixed

References in corpus (5)

• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Higher Spins & Strings
• Permutation orbifolds and holography
• Extended supersymmetry in AdS_3 higher spin theories
• Heterotic AdS_3/CFT_2 duality with (0,4) spacetime supersymmetry

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