#### Title

One-instanton test of a Seiberg-Witten curve from M-theory: The antisymmetric representation of SU(N)

#### Document Type

Article

#### Publication Date

11-16-1998

#### Abstract

One-instanton predictions are obtained from the Seiberg-Witten curve derived from M-theory by Landsteiner and Lopez for the Coulomb branch of N = 2 supersymmetric SU(N) gauge theory with a matter hypermultiplet in the antisymmetric representation. Since this cubic curve describes a Riemann surface that is non-hyperelliptic, a systematic perturbation expansion about a hyperelliptic curve is developed, with a comparable expansion for the Seiberg-Witten differential. Calculation of the period integrals of the SW differential by the method of residues of D'Hoker, Krichever, and Phong enables us to compute the prepotential explicitly to one-instanton order. It is shown that the one-instanton predictions for SU(2), SU(3), and SU(4) agree with previously available results. For SU(N), N ≥ 5, our analysis provides explicit predictions of a curve derived from M-theory at the one-instanton level in field theory. © 1998 Elsevier Science B.V.

#### Recommended Citation

Naculich, Stephen G.; Rhedin, Henric; and Schnitzer, Howard J., "One-instanton test of a Seiberg-Witten curve from M-theory: The antisymmetric representation of SU(N)" (1998). *Physics Faculty Publications*. 151.

https://digitalcommons.bowdoin.edu/physics-faculty-publications/151