Modular anomaly equations and S-duality in N=2 conformal SQCD
High Energy Physics - Theory
2015-09-02 v2
Abstract
We use localization techniques to study the non-perturbative properties of an N=2 superconformal gauge theory with gauge group SU(3) and six fundamental flavours. The instanton corrections to the prepotential, the dual periods and the period matrix are calculated in a locus of special vacua possessing a Z_3 symmetry. In a semi-classical expansion, we show that these observables are constrained by S-duality via a modular anomaly equation which takes the form of a recursion relation. The solutions of the recursion relation are quasi-modular functions of Gamma_1(3), which is a subgroup of the S-duality group and is also a congruence subgroup of SL(2,Z).
Cite
@article{arxiv.1507.07476,
title = {Modular anomaly equations and S-duality in N=2 conformal SQCD},
author = {S. K. Ashok and M. Billó and E. Dell'Aquila and M. Frau and A. Lerda and M. Raman},
journal= {arXiv preprint arXiv:1507.07476},
year = {2015}
}
Comments
30 pages, 2 figures, references added, typos fixed