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 semiclassical 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 Γ1 (3), which is a subgroup of the S-duality group and is also a congruence subgroup of SL(2, ℤ).

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

BILLO', Marco;FRAU, Marialuisa;LERDA, Alberto;
2015-01-01

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 semiclassical 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 Γ1 (3), which is a subgroup of the S-duality group and is also a congruence subgroup of SL(2, ℤ).
2015
JHEP10(2015)091
1
31
http://link.springer.com/article/10.1007%2FJHEP10%282015%29091
Supersymmetry and Duality, Supersymmetric gauge theory, Extended Supersymmetry, Solitons Monopoles and Instantons
Ashok, S.K.; Billò, M.; Dell’Aquila, E.; Frau, M.; Lerda, A.; Raman, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1526693
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