Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Refined Topological Vertex and Duality of Gauge Theories in Generic
  Omega Backgrounds   The partition functions of refined topological strings(A-models) are
computed, which give rise to the circle-compactified five-dimensional
supersymmetric linear quiver gauge theories in generic (not necessarily
self-dual) Omega backgrounds. Based on the slicing independence conjecture of
refined topological string partition functions, it is demonstrated explicitly
that the duality exists between
  $SU(N)^{M-1}$ and $SU(M)^{N-1}$ supersymmetric linear quiver gauge theories,
even in generic Omega backgrounds. It is found that the relations between
string moduli and gauge moduli are deformed from the self-dual case. However if
the duality map which preserves the ratio of the Omega background parameters q
and t, is considered, duality maps of the gauge moduli are not changed from the
self-dual case.

8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga