Baryons, Boundaries and Matrix Models
arXiv:hep-th/0211271 · doi:10.1016/j.nuclphysb.2003.10.045
Abstract
A natural extension of the Dijkgraaf-Vafa proposal is to include fields in the fundamental representation of the gauge group. In this paper we use field theory techniques to analyze gauge theories whose tree level superpotential is a generic polynomial in multi-trace operators constructed out of such fields. We show that the effective superpotential is generated by planar diagrams with at most one (generalized) boundary. This justifies the proposal put forward in hep-th/0211075. We then proceed to extend the gauge theory-matrix model duality to include baryonic operators. We obtain the full moduli space of vacua for an U(N) theory with N flavors. We also outline a program leading to a string theory justification of the gauge theory-matrix model correspondence with fundamental matter.
28 pages, latex
References in corpus (22)
- Chiral Rings and Anomalies in Supersymmetric Gauge Theory
- A Perturbative Window into Non-Perturbative Physics
- On Geometry and Matrix Models
- Gravitational corrections in supersymmetric gauge theory and matrix models
- Perturbative Computation of Glueball Superpotentials
- Perturbative Analysis of Gauged Matrix Models
- S-duality of the Leigh-Strassler Deformation via Matrix Models
- The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory
- Exact Superpotentials for Theories with Flavors via a Matrix Integral
- Quantum parameter space and double scaling limits in N=1 super Yang-Mills theory
- Matrix model approach to the N=2 U(N) gauge theory with matter in the fundamental representation
- Effective matter superpotentials from Wishart random matrices
- Quantum moduli spaces from matrix models
- The N=2 gauge theory prepotential and periods from a perturbative matrix model calculation
- Exact superpotentials in N=1 theories with flavor and their matrix model formulation
- Konishi anomaly and N=1 effective superpotentials from matrix models
- Perturbative Derivation of Exact Superpotential for Meson Fields from Matrix Theories with One Flavour
- Baryonic Corrections to Superpotentials from Perturbation Theory
- Seiberg Duality in Matrix Model
- Seiberg Duality in Matrix Models II
- Derivation of the Konishi anomaly relation from Dijkgraaf-Vafa with (Bi-)fundamental matters
- Large N Strong Coupling Dynamics in Non-Supersymmetric Orbifold Field Theories
Cited by in corpus (23)
- An Introduction to Supersymmetric Gauge Theories and Matrix Models
- Unified description of correlators in non-Gaussian phases of Hermitean matrix model
- In the Realm of the Geometric Transitions
- Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models
- On the Matter of the Dijkgraaf--Vafa Conjecture
- (Anti)symmetric matter and superpotentials from IIB orientifolds
- Metastable Vacua, Geometrical Engineering and MQCD Transitions
- Multi-Trace Superpotentials vs. Matrix Models
- Super Yang-Mills With Flavors From Large N_f Matrix Models
- Metastable Vacua and Complex Deformations
- Exact Mesonic Vacua From Matrix Models
- Chiral field theories, Konishi anomalies and matrix models
- Mean-field Approach to the Derivation of Baryon Superpotential from Matrix Model
- Generalized Yukawa couplings and Matrix Models
- Gravitational Corrections for Supersymmetric Gauge Theories with Flavors via Matrix Models
- Veneziano-Yankielowicz Superpotential Terms in N=1 SUSY Gauge Theories
- Note on Seiberg Duality in Matrix Model
- Effective Gauge Degrees of Freedom and the (Non)existence of the Glueball Superpotential
- Matrix Models, Monopoles and Modified Moduli
- SQCD Vacua and Geometrical Engineering
- The Dijkgraaf-Vafa correspondence for theories with fundamental matter fields
- Geometric Transitions, Non-Kahler Geometries and String Vacua
- Aspects of Supersymmetric Gauge Theory and String Theory