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The Effective Prepotential of N=2 Supersymmetric SO(N_c) and Sp(N_c) Gauge Theories

Eric D'Hoker·I. M. Krichever·D. H. Phong
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Abstract

We calculate the effective prepotentials for N=2 supersymmetric SO(N_c) and Sp(N_c) gauge theories, with an arbitrary number of hypermultiplets in the defining representation, from restrictions of the prepotentials for suitable N=2 supersymmetric gauge theories with unitary gauge groups. (This extends previous work in which the prepotential for N=2 supersymmetric SU(N_c) gauge theories was evaluated from the exact solution constructed out of spectral curves.) The prepotentials have to all orders the logarithmic singularities of the one-loop perturbative corrections, as expected from non-renormalization theorems. We evaluate explicitly the contributions of one- and two-instanton processes.

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Eric D'Hoker, I. M. Krichever, D. H. Phong. 1996-09-17. The Effective Prepotential of N=2 Supersymmetric SO(N_c) and Sp(N_c) Gauge Theories. https://doi.org/10.1016/s0550-3213(97)00033-3

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