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

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.

13 pages, Plain TeX, no macros needed, no figures

References in corpus (11)

• Integrable systems and supersymmetric gauge theory
• The Vacuum Structure of N=2 SuperQCD with Classical Gauge Groups
• Prepotentials of $N=2$ Supersymmetric Gauge Theories and Soliton Equations
• On the Relation Between the Holomorphic Prepotential and the Quantum Moduli in SUSY Gauge Theories
• On the Quantum Moduli Space of N=2 Supersymmetric Gauge Theories
• The Effective Prepotential of N=2 Supersymmetric SU(N_c) Gauge Theories
• Multi-Instanton Calculus in N=2 Supersymmetric Gauge Theory II: Coupling to Matter
• One-Instanton Calculations in $N=2$ Supersymmetric $SU(N_c)$ Yang-Mills Theory
• A Two-Instanton Test of the Exact Solution of N=2 Supersymmetric QCD
• Numerical evidence for the spin-Peierls state in the frustrated quantum antiferromagnet
• The Moduli Space of the $N=2$ Supersymmetric $G_2$ Yang-Mills Theory

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