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arXiv · 1507.07476

Modular anomaly equations and S-duality in N=2 conformal SQCD

S. K. Ashok·M. Billó·E. Dell'Aquila·M. Frau·A. Lerda·M. Raman
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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).

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S. K. Ashok, M. Billó, E. Dell'Aquila, M. Frau, A. Lerda, M. Raman. 2015-09-01. Modular anomaly equations and S-duality in N=2 conformal SQCD. https://arxiv.org/abs/1507.07476

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