On Exact Superpotentials, Free Energies and Matrix Models
arXiv:hep-th/0401101 · doi:10.1088/1126-6708/2004/02/038
Abstract
We discuss exact results for the full nonperturbative effective superpotentials of four dimensional supersymmetric U(N) gauge theories with additional chiral superfield in the adjoint representation and the free energies of the related zero dimensional bosonic matrix models with polynomial potentials in the planar limit using the Dijkgraaf-Vafa matrix model prescription and integrating in and out. The exact effective superpotentials are produced including the leading Veneziano-Yankielowicz term directly from the matrix models. We also discuss how to use integrating in and out as a tool to do random matrix integrals in the large limit.
14 pages; v2: typos corrected; v3: the scheme for computing exact superpotentials including both the Veneziano-Yankielowicz term and all instanton corrections directly using matrix models is emphasized and references added, to appear in JHEP
References in corpus (15)
- Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
- Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
- 2D Gravity and Random Matrices
- Lectures on supersymmetric gauge theories and electric-magnetic duality
- Matrix Models, Topological Strings, and Supersymmetric Gauge Theories
- Simple Singularities and N=2 Supersymmetric Yang-Mills Theory
- The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory
- Chiral Rings and Anomalies in Supersymmetric Gauge Theory
- On Geometry and Matrix Models
- A Large N Duality via a Geometric Transition
- Dynamics of Supersymmetric Gauge Theory
- Exact Superpotentials in Four Dimensions
- ``Integrating in'' and exact superpotentials in 4d
- On exact superpotentials in confining vacua
- Comments on Effective Superpotentials via Matrix Models