Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamic limit of Nekrasov partition function for 5-brane web with
  O5-plane   In this paper, we study 5d $\mathcal{N}=1$ $Sp(N)$ gauge theory with $N_f (
\leq 2N + 3 )$ flavors based on 5-brane web diagram with $O5$-plane. On the one
hand, we discuss Seiberg-Witten curve based on the dual graph of the 5-brane
web with $O5$-plane. On the other hand, we compute the Nekrasov partition
function based on the topological vertex formalism with $O5$-plane. Rewriting
it in terms of profile functions, we obtain the saddle point equation for the
profile function after taking thermodynamic limit. By introducing the
resolvent, we derive the Seiberg-Witten curve and its boundary conditions as
well as its relation to the prepotential in terms of the cycle integrals. They
coincide with those directly obtained from the dual graph of the 5-brane web
with $O5$-plane. This agreement gives further evidence for mirror symmetry
which relates Nekrasov partition function with Seiberg-Witten curve in the case
with orientifold plane and shed light on the non-toric Calabi-Yau 3-folds
including D-type singularities.

25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio