Stringy N $$ \mathcal{N} $$ = (2, 2) holography for AdS3

Abstract We propose a class of AdS3/CFT2 dualities with N $$ \mathcal{N} $$ = (2, 2) supersymmetry. These dualities relate string theory on AdS3×S3×T4/G $$ {\mathrm{AdS}}_3\times \left({\mathrm{S}}^3\times {\mathbb{T}}^4\right)/\mathrm{G} $$ to marginal deformations of the symmetric product orbifold of T4/G $$ {\mathbb{T}}^4/\mathrm{G} $$, where 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.