Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Branes at $\C^4/\Ga$ Singularity from Toric Geometry   We study toric singularities of the form of $\C^4/\Ga$ for finite abelian
groups $\Ga \subset SU(4)$. In particular, we consider the simplest case
$\Ga=\Z_2 \times \Z_2 \times \Z_2$ and find explicitly charge matrices for
partial resolutions of this orbifold by extending the method by Morrison and
Plesser. We obtain three kinds of algebraic equations, $z_1 z_2 z_3 z_4=z_5^2,
z_1 z_2 z_3=z_4^2 z_5 $ and $z_1 z_2 z_5 = z_3 z_4$ where $z_i$'s parametrize
$\C^5$. When we put $N$ D1 branes at this singularity, it is known that the
field theory on the worldvolume of $N$ D1 branes is T-dual to $2 \times 2
\times 2 $ brane cub model. We analyze geometric interpretation for field
theory parameters and moduli space.

31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin