Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Five-dimensional gauge theories and the local B-model   We propose an effective framework for computing the prepotential of the
topological B-model on a class of local Calabi--Yau geometries related to the
circle compactification of five-dimensional $\mathcal{N}=1$ super Yang--Mills
theory with simple gauge group. In the simply-laced case, we construct
Picard--Fuchs operators from the Dubrovin connection on the Frobenius manifolds
associated to the extended affine Weyl groups of type $\mathrm{ADE}$. In
general, we propose a purely algebraic construction of Picard--Fuchs ideals
from a canonical subring of the space of regular functions on the ramification
locus of the Seiberg--Witten curve, encompassing non-simply-laced cases as
well.
  We offer several precision tests of our proposal. Whenever a candidate
spectral curve is known from string theory/brane engineering, we perform
non-perturbative comparisons with the gauge theory prepotentials obtained from
the K-theoretic blow-up equations, finding perfect agreement. We also employ
our formalism to rule out some proposals from the theory of integrable systems
of Seiberg--Witten geometries for non-simply laced gauge groups.

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The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol