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

2015/07/27 by Sujay K. Ashok, M. Billó, Ashok, S. K. +9 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1507.07476

openalex publication_date 2015/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Z₃ 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 Gamma₁(3), which is a subgroup of the S-duality group and is also a congruence subgroup of SL(2,Z).

Citations

• S-duality and the prepotential in N=2* theories (II): the non-simply laced algebras
• Wall-crossing, Hitchin Systems, and the WKB Approximation

Cited by

• Resumming instantons in N=2* theories with arbitrary gauge groups

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