Massive Theta Lifts

Abstract

We use Poincare series for massive Maass-Jacobi forms to define a "massive theta lift", and apply it to the examples of the constant function and the modular invariant j-function, with the Siegel-Narain theta function as integration kernel. These theta integrals are deformations of known one-loop string threshold corrections. Our massive theta lifts fall off exponentially, so some Rankin-Selberg integrals are finite without Zagier renormalization.

32 pages

References in corpus (5)

• Elliptic integral evaluations of Bessel moments
• Where is String Theory?
• Towards the One-loop Kahler Metric of Calabi-Yau Orientifolds
• $T\overline{T}$-deformed modular forms
• Schubert Eisenstein series and Poisson summation for Schubert varieties