Resumming instantons in N=2* theories with arbitrary gauge groups
High Energy Physics - Theory
2016-02-17 v2 Mathematical Physics
math.MP
Abstract
We discuss the modular anomaly equation satisfied by the the prepotential of 4-dimensional N=2* theories and show that its validity is related to S-duality. The recursion relations that follow from the modular anomaly equation allow one to write the prepotential in terms of (quasi)-modular forms, thus resumming the instanton contributions. These results can be checked against the microscopic multi-instanton calculus in the case of classical algebras, but are valid also for the exceptional E6, E7, E8, F4 and G2 algebras, where direct computations are not available.
Keywords
Cite
@article{arxiv.1602.00273,
title = {Resumming instantons in N=2* theories with arbitrary gauge groups},
author = {M. Billò and M. Frau and F. Fucito and A. Lerda and J. F. Morales},
journal= {arXiv preprint arXiv:1602.00273},
year = {2016}
}
Comments
14 pages. To appear in the Proceedings of the XIV Marcel Grossmann Meeting, Rome, Italy, July 12-18, 2015. V2: aknowledgments added