Heterotic sigma models on $T^8$ and the Borcherds automorphic form $\Phi_{12}$

16 Jul 2017  ·  Harrison Sarah M., Kachru Shamit, Paquette Natalie M., Volpato Roberto, Zimet Max ·

We consider the spectrum of BPS states of the heterotic sigma model with $(0,8)$ supersymmetry and $T^8$ target, as well as its second-quantized counterpart. We show that the counting function for such states is intimately related to Borcherds' automorphic form $\Phi_{12}$, a modular form which exhibits automorphy for $O(2,26;{\mathbb Z})$... We comment on possible implications for Umbral moonshine and theories of AdS$_3$ gravity. read more

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High Energy Physics - Theory