Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modularity of supersymmetric partition functions   We discover a modular property of supersymmetric partition functions of
supersymmetric theories with R-symmetry in four dimensions. This modular
property is, in a sense, the generalization of the modular invariance of the
supersymmetric partition function of two-dimensional supersymmetric theories on
a torus i.e. of the elliptic genus. The partition functions in question are on
manifolds homeomorphic to the ones obtained by gluing solid tori. Such gluing
involves the choice of a large diffeomorphism of the boundary torus, along with
the choice of a large gauge transformation for the background flavor symmetry
connections, if present. Our modular property is a manifestation of the
consistency of the gluing procedure. The modular property is used to rederive a
supersymmetric Cardy formula for four-dimensional gauge theories that has
played a key role in computing the entropy of supersymmetric black holes. To be
concrete, we work with four-dimensional N=1 supersymmetric theories but we
expect versions of our result to apply more widely to supersymmetric theories
in other dimensions.

10
The categories of this paper are: q-bio
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The categories of this paper are: nlin
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph