Massive Theta Lifts
High Energy Physics - Theory
2023-05-24 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.2212.11957,
title = {Massive Theta Lifts},
author = {Marcus Berg and Daniel Persson},
journal= {arXiv preprint arXiv:2212.11957},
year = {2023}
}
Comments
32 pages