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Instanton corrections in N=2 supersymmetric theories with classical gauge groups and fundamental matter hypermultiplets

Jose D. Edelstein·Marta Gomez-Reino·Javier Mas
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Abstract

We compute instanton corrections to the low energy effective prepotential of N=2 supersymmetric theories in a variety of cases, including all classical gauge groups and even number of fundamental matter hypermultiplets. To this end, we take profit of a set of first- and second-order equations for the logarithmic derivatives of the prepotential with respect to the dynamical scale expressed in terms of Riemann's theta-function. These equations emerge in the context of the Whitham hierarchy approach to the low-energy Seiberg--Witten solution of supersymmetric gauge theories. Our procedure is recursive and allows to compute the effective prepotential to arbitrary order in a remarkably straightforward way. General expressions for up to three-instanton corrections are given. We illustrate the method with explicit expressions for several cases.

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Jose D. Edelstein, Marta Gomez-Reino, Javier Mas. 1999-08-20. Instanton corrections in N=2 supersymmetric theories with classical gauge groups and fundamental matter hypermultiplets. https://doi.org/10.1016/s0550-3213(99)00498-8

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