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arXiv · 1710.06653

A note on mock automorphic forms and the BPS index

Tian An Wong
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Abstract

We discuss mock automorphic forms from the point of view of representation theory, that is, obtained from weak harmonic Maass forms give rise to nontrivial $(\mathfrak{g},K)$-cohomology. We consider the possibility of replacing the `holomorphic' condition with `cohomological' when generalizing to general reductive groups. Such a candidate 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.

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Tian An Wong. 2017-10-18. A note on mock automorphic forms and the BPS index. https://arxiv.org/abs/1710.06653

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