Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Neveu-Schwarz Five-Brane and its Dual Geometries   In this paper we discuss two aspects of duality transformations on the
Neveu-Schwarz (NS) 5-brane solutions in type II and heterotic string theories.
First we demonstrate that the non-extremal NS 5-brane background is U-dual to
its CGHS limit, a two-dimensional black hole times $S^3\times T^5$; an
intermediate step is provided by the near horizon geometry which is given by
the three-dimensional $BTZ_3$ black hole (being closely related to $AdS_3$)
times $S^3\times T^4$. In the second part of the paper we discuss the T-duality
between $k$ NS 5-branes and the Taub-NUT spaces respectively ALE spaces, which
are related to the resolution of the $A_{k-1}$ singularities of the non-compact
orbifold ${\bf C}^2/{\bf Z}_{k}$. In particular in the framework of N=1
supersymmetric gauge theories related to brane box constructions we give the
metric dual to two sets of intersecting NS 5-branes. In this way we get a
picture of a dual orbifold background ${\bf C}^3/ \Gamma$ which is fibered
together out of two N=2 models ($\Gamma={\bf Z}_k\times {\bf Z}_{k'}$). Finally
we also discuss the intersection of NS 5-branes with D branes, which can serve
as probes of the dual background spaces.

18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con