Genus one correction to Seiberg-Witten prepotential from β-deformed matrix model
arXiv:1303.5584 · doi:10.1007/JHEP04(2013)120
Abstract
We study β-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.
32 pages, minor corrections, v3: small corrections, references added
References in corpus (14)
- A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
- On AGT relation in the case of U(3)
- Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems
- Asymptotically free N=2 theories and irregular conformal blocks
- Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach
- Deformed N=2 theories, generalized recursion relations and S-duality
- Massive Scaling Limit of beta-Deformed Matrix Model of Selberg Type
- S-duality as a beta-deformed Fourier transform
- Generalized matrix models and AGT correspondence at all genera
- Seiberg-Witten curve via generalized matrix model
- Large N limit of beta-ensembles and deformed Seiberg-Witten relations
- Logarithmic potential beta-ensembles and Feynman graphs
- An(1) Affine Quiver Matrix Model
- Penner Type Ensemble for Gauge Theories Revisited