Rademacher expansion from symplectic symmetries of the Siegel modular form: An $N=4$ counting story

30.11.2021 14:00 - 15:00

Martí Rosselló

Abstract: Single centred 1/4 BPS degeneracies in four-dimensional $N=4$ heterotic string theory are generated by $1/\Phi_{10}$. In this talk, we will demonstrate how its $Sp(2,\mathbb{Z})$ symmetries enable us to develop not only a Rademacher expansion for these degeneracies, but also derive the explicit structure underlying the polar states that feed into the expansion. Our results have important implications for using microscopic data to exactly compute gravity path integrals.

Organiser:
TU Wien und Mathematischen Physik
Location:
Zoom Meeting