Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wall Crossing of BPS States on the Conifold from Seiberg Duality and
  Pyramid Partitions   In this paper we study the relation between pyramid partitions with a general
empty room configuration (ERC) and the BPS states of D-branes on the resolved
conifold. We find that the generating function for pyramid partitions with a
length n ERC is exactly the same as the D6/D2/D0 BPS partition function on the
resolved conifold in particular Kaehler chambers. We define a new type of
pyramid partition with a finite ERC that counts the BPS degeneracies in certain
other chambers.
  The D6/D2/D0 partition functions in different chambers were obtained by
applying the wall crossing formula. On the other hand, the pyramid partitions
describe T^3 fixed points of the moduli space of a quiver quantum mechanics.
This quiver arises after we apply Seiberg dualities to the D6/D2/D0 system on
the conifold and choose a particular set of FI parameters. The arrow structure
of the dual quiver is confirmed by computation of the Ext group between the
sheaves. We show that the superpotential and the stability condition of the
dual quiver with this choice of the FI parameters give rise to the rules
specifying pyramid partitions with length n ERC.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex