D-instantons, mock modular forms and BPS partition functions

Sergey Alexandrov (1)

1 L2C - Laboratoire Charles Coulomb

I'll discuss the modular properties of D3-brane instantons appearing in Calabi-Yau string compactifications. I'll show that the D3-instanton contribution to a certain geometric potential on the hypermultiplet moduli space can be related to the elliptic genus of (0,4) SCFT. The modular properties of the potential imply that the elliptic genus associated with non-primitive divisors of Calabi-Yau is only mock modular. I'll show how to construct its modular completion and to make manifest the modular invariance of the twistorial construction of D-instanton corrected hypermultiplet moduli space.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Sergey Alexandrov. D-instantons, mock modular forms and BPS partition functions. Workshop on Modular Forms and Black Holes, Jan 2017, Bhubaneswar, India. ⟨hal-01443698⟩