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Matematicheskie Zametki, 2021, Volume 110, Issue 2, paper published in the English version journal
(Mi mzm12946)
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Papers published in the English version of the journal
A Note on Mock Automorphic Forms and the BPS Index
T. A. Wong
Abstract:
We discuss mock automorphic forms from the point of view of representation theory, that
is, mock automorphic forms obtained from weak harmonic Maaß forms giving rise to nontrivial
$(\mathfrak
g,K)$-cohomology.
We consider the possibility of replacing the ‘holomorphic’ condition
with a “cohomological” one when generalizing to general reductive groups.
Such a candidate for replacement
allows for growing Fourier coefficients, in contrast to automorphic forms under the
Miatello-Wallach conjecture.
In the second part, we provide an overview of the connection
with BPS black hole counts as a physical motivation for studying mock automorphic forms.
Keywords:
mock modular forms, automorphic representations, BPS index
theorem, exponential sums.
Received: 01.11.2020
Citation:
T. A. Wong, “A Note on Mock Automorphic Forms and the BPS Index”, Math. Notes, 110:2 (2021), 273–282
Linking options:
https://www.mathnet.ru/eng/mzm12946
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Abstract page: | 78 |
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