Chiral rings, anomalies and loop equations in N=1* gauge theories
arXiv:hep-th/0306035 · doi:10.1088/1126-6708/2003/07/005
Abstract
We examine the equivalence between the Konishi anomaly equations and the matrix model loop equations in N=1* gauge theories, the mass deformation of N=4 supersymmetric Yang-Mills. We perform the superfunctional integral of two adjoint chiral superfields to obtain an effective N=1 theory of the third adjoint chiral superfield. By choosing an appropriate holomorphic variation, the Konishi anomaly equations correctly reproduce the loop equations in the corresponding three-matrix model. We write down the field theory loop equations explicitly by using a noncommutative product of resolvents peculiar to N=1* theories. The field theory resolvents are identified with those in the matrix model in the same manner as for the generic N=1 gauge theories. We cover all the classical gauge groups. In SO/Sp cases, both the one-loop holomorphic potential and the Konishi anomaly term involve twisting of index loops to change a one-loop oriented diagram to an unoriented diagram. The field theory loop equations for these cases show certain inhomogeneous terms suggesting the matrix model loop equations for the RP2 resolvent.
23 pages, 3 figures, latex2e, v4: minor changes in introduction and conclusions, 4 references are added, version to appear in JHEP
References in corpus (23)
- Chiral Rings and Anomalies in Supersymmetric Gauge Theory
- A Perturbative Window into Non-Perturbative Physics
- Gravitational corrections in supersymmetric gauge theory and matrix models
- Perturbative Computation of Glueball Superpotentials
- Phases of N=1 Supersymmetric Gauge Theories and Matrices
- Perturbative Analysis of Gauged Matrix Models
- Exploring Small Extra Dimensions at the Large Hadron Collider
- S-duality of the Leigh-Strassler Deformation via Matrix Models
- Exact Superpotentials from Matrix Models
- Adding Fundamental Matter to ``Chiral Rings and Anomalies in Supersymmetric Gauge Theory''
- Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models
- Perturbative Computation of Glueball Superpotentials for SO(N) and USp(N)
- Konishi anomaly and N=1 effective superpotentials from matrix models
- On the Matter of the Dijkgraaf--Vafa Conjecture
- Massive Vacua of N=1* Theory and S-duality from Matrix Models
- Dijkgraaf-Vafa theory as large-N reduction
- SO(N) Superpotential, Seiberg-Witten Curves and Loop Equations
- Effective Superpotentials via Konishi Anomaly
- Loop equations, matrix models, and N=1 supersymmetric gauge theories
- Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model
- Constructing Gauge Theory Geometries from Matrix Models
- Konishi anomaly approach to gravitational F-terms
- New Results from Glueball Superpotentials and Matrix Models: the Leigh-Strassler Deformation