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.

arXiv comment32 pages

References in corpus (19)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Algebras, BPS States, and Strings
• Automorphic forms with singularities on Grassmannians
• Averaging Over Narain Moduli Space
• Elliptic integral evaluations of Bessel moments
• Where is String Theory?
• D-brane interactions in type IIB plane-wave background
• One-Loop BPS amplitudes as BPS-state sums
• Threshold Corrections and Symmetry Enhancement in String Compactifications
• Eisenstein series and automorphic representations
• Towards the One-loop Kahler Metric of Calabi-Yau Orientifolds
• Transition from the ${\mathbb{Z}}_2$ spin liquid to antiferromagnetic order: spectrum on the torus
• Threshold corrections, generalised prepotentials and Eichler integrals
• Massive deformations of Maass forms and Jacobi forms
• $T\overline{T}$-deformed modular forms
• On the Rankin-Selberg method for higher genus string amplitudes
• Berry curvature, horocycles and scattering states in $Ad{S}_3/CF{T}_2$
• String theory integrands and supergravity divergences
• Schubert Eisenstein series and Poisson summation for Schubert varieties