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 oneloop perturbative corrections, as expected from nonrenormalization theorems. We evaluate explicitly the contributions of 1 and 2instanton processes.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)000333
 arXiv:
 arXiv:hepth/9609145
 Bibcode:
 1997NuPhB.489..211D
 Keywords:

 High Energy Physics  Theory
 EPrint:
 13 pages, Plain TeX, no macros needed, no figures