N=33 $$ \mathcal{N}=\left(3,3\right) $$ holography on AdS3 × (S3 × S3 × S1)/ℤ2

Abstract

Abstract We consider string theory on AdS3 × (S3 × S3 × S1)/ℤ2, a background supporting N=33 $$ \mathcal{N}=\left(3,3\right) $$ spacetime supersymmetry. We propose that string theory on this background is dual to the symmetric product orbifold of S0/ℤ2 $$ {\mathcal{S}}_0/{\mathbb{Z}}_2 $$ where S0 $$ {\mathcal{S}}_0 $$ is a theory of four free fermions and one free boson. We show that the BPS spectra of the two sides of the duality match precisely. Furthermore, we compute the elliptic genus of the dual CFT and that of the supergravity limit of string theory and demonstrate that they match, hence providing non-trivial support for the holographic proposal.

Keywords

• AdS-CFT Correspondence
• Conformal Field Theory
• Extended Supersymmetry