Author:
Berg Marcus,Persson Daniel
Abstract
Abstract
We use Poincaré 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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference46 articles.
1. F. Shahidi, Eisenstein series and automorphic L-functions, Colloquium Publications 58, American Mathematical Society (2010) [https://doi.org/10.1090/coll/058].
2. D. Zagier, The Rankin-Selberg method for automorphic functions which are not of rapid decay, J. Fac. Sci. Univ of Tokyo 28 (1982) 28 [https://people.mpim-bonn.mpg.de/zagier/files/rankin-selberg/fulltext.pdf].
3. O. Bergman, M.R. Gaberdiel and M.B. Green, D-brane interactions in type IIB plane wave background, JHEP 03 (2003) 002 [hep-th/0205183] [INSPIRE].
4. M. Berg, K. Bringmann and T. Gannon, Massive deformations of Maass forms and Jacobi forms, Commun. Num. Theor. Phys. 15 (2021) 575 [arXiv:1910.02745] [INSPIRE].
5. D.E. Berenstein, J.M. Maldacena and H.S. Nastase, Strings in flat space and pp waves from N = 4 superYang-Mills, JHEP 04 (2002) 013 [hep-th/0202021] [INSPIRE].