Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: False Theta Functions and the Verlinde formula   We discover new analytic properties of classical partial and false theta
functions and their potential applications to representation theory of
W-algebras and vertex algebras in general. More precisely, motivated by clues
from conformal field theory, first, we are able to determine modular-like
transformation properties of regularized partial and false theta functions.
Then, after suitable identification of regularized partial/false theta
functions with the characters of atypical modules for the singlet vertex
algebra W(2,2p-1), we formulate and prove a Verlinde-type formula for the
fusion rules of irreducible W(2,2p-1)-modules.

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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin