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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-quantizedcounterpart. We show that the counting function for such states is intimatelyrelated to Borcherds' automorphic form $\Phi_{12}$, a modular form whichexhibits automorphy for $O(2,26;{\mathbb Z})$. We comment on possibleimplications for Umbral moonshine and theories of AdS$_3$ gravity.

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