Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathcal{N}=(3,3)$ holography on ${\rm AdS}_3 \times ({\rm S}^3 \times
  {\rm S}^3 \times {\rm S}^1)/\mathbb Z_2$   We consider string theory on AdS$_3$ $\times$ (S$^3$ $\times$ S$^3$ $\times$
S$^1)/\mathbb Z_2$, a background supporting $\mathcal N=(3,3)$ spacetime
supersymmetry. We propose that string theory on this background is dual to the
symmetric product orbifold of $\mathcal S_0/\mathbb Z_2$ where $\mathcal S_0$
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.

29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ