#### Title

### One-instanton predictions of a seiberg-witten curve from M theory: The symmetric representation of SU(N)

#### Document Type

Article

#### Publication Date

1-20-1999

#### Abstract

We consider N = 2 supersymmetric Yang-Mills theories in four dimensions with gauge group SU(N) for N larger than 2. Using the cubic curve for a matter hypermultiplet transforming in the symmetric representation, obtained from M theory by Landsteiner and Lopez, we calculate the prepotential up to the one-instanton correction. We treat the curve as being approximately hyperelliptic and perform a perturbation expansion for the Seiberg-Witten differential to get the one-instanton contribution. We find that it reproduces the correct result for one loop, and we obtain the prediction for that curve for the one-instanton correction term.

#### Recommended Citation

Ennes, Isabel P.; Rhedin, Henric; Naculich, Stephen G.; and Schnitzer, Howard J., "One-instanton predictions of a seiberg-witten curve from M theory: The symmetric representation of SU(N)" (1999). *Physics Faculty Publications*. 148.

https://digitalcommons.bowdoin.edu/physics-faculty-publications/148