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Stringy $\mathcal{N}=(2,2)$ holography for AdS${_3}$
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abstract
We propose a class of ${\rm AdS}_3/{\rm CFT}_2$ dualities with $\mathcal{N}=(2,2)$ supersymmetry. These dualities relate string theory on ${\rm AdS}_3 \times ({\rm S}^3\times \mathbb{T}^4)/{\rm G}$ to marginal deformations of the symmetric product orbifold of $\mathbb{T}^4/{\rm G}$, where ${\rm G}$ 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.
Forward citations
Cited by 2 Pith papers
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Covering space maps for $n$-point functions with three long twists
Explicit covering-space maps for three long twists plus any number of twist-2 operators are constructed, yielding closed-form four- and five-point bare twist correlators in the ΔN=1,2 cases.
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Topologically charged BPS microstates in AdS$_3$/CFT$_2$
Modified helicity-trace indices for charged sectors of AdS3/CFT2 produce the Cardy/Bekenstein-Hawking entropy, reproducing Larsen-Martinec in the T^4 case and resolving the earlier HS2 mismatch in half-integer winding...
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