Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Protected states in $\mbox{AdS}_3$ backgrounds from integrability   We write down the Algebraic Bethe Ansatz for string theory on
$\mbox{AdS}_3\times\mbox{S}^3\times\mbox{T}^4$ and
$\mbox{AdS}_3\times\mbox{S}^3\times\mbox{K3}$ in its orbifold limits. We use it
to determine the wave-functions of protected closed strings in these
backgrounds and prove that their energies are protected to all orders in
$\alpha'$. We further apply the ABA to find the wave functions of protected
states of $\mbox{AdS}_3\times\mbox{S}^3\times\mbox{S}^3\times \mbox{S}^1$ and
its $\mathbf{Z}_2$ orbifold. Our findings match with protected spectrum
calculations from supergravity, $\mbox{Sym}^N$ orbifolds and apply to the
complete moduli space of these theories, excluding orbifold blow-up modes for
which further analysis is necessary.

4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph