English

Genus one correction to Seiberg-Witten prepotential from \beta-deformed matrix model

High Energy Physics - Theory 2013-05-06 v3

Abstract

We study \beta-deformed matrix models with Penner type potentials, which correspond to N=2 SU(2) supersymmetric gauge theories with N_F=2,3, and 4 flavors. We compute explicitly the genus one corrections to the free energy of the matrix model and show that they match the corresponding results obtained from the Nekrasov partition function.

Cite

@article{arxiv.1303.5584,
  title  = {Genus one correction to Seiberg-Witten prepotential from \beta-deformed matrix model},
  author = {Jong-Hyun Baek},
  journal= {arXiv preprint arXiv:1303.5584},
  year   = {2013}
}

Comments

32 pages, minor corrections, v3: small corrections, references added

R2 v1 2026-06-21T23:46:32.866Z