Deformation of Dijkgraaf-Vafa Relation via Spontaneously Broken N=2 Supersymmetry II

Abstract

We consider the matter induced part of the effective superpotential of N=2, U(N) gauge model in which N=2 supersymmetry is spontaneously broken to N=1, by using the properties of the chiral ring and the generalized Konishi anomaly equations derived in our previous paper arXiv:0704.1060. It is shown that the effective superpotential is related to the planar free energy of the matrix model by a formula which consists of two parts -- the well-known part due to Dijkgraaf-Vafa and the part that acts as a deformation of the couplings. These couplings are those of the original bare prepotential in the action and at the same time matrix model couplings.

arXiv comment19 pages, 1 figure; a version to appear in Nucl. Phys. B

References in corpus (57)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Matrix Models, Topological Strings, and Supersymmetric Gauge Theories
• Superstrings and Topological Strings at Large N
• Integrability and Seiberg-Witten Exact Solution
• Chiral Rings and Anomalies in Supersymmetric Gauge Theory
• A Perturbative Window into Non-Perturbative Physics
• On Geometry and Matrix Models
• A Large N Duality via a Geometric Transition
• Spontaneous Breaking of N=2 Global Supersymmetry
• Perturbative Computation of Glueball Superpotentials
• Integrability and Seiberg-Witten Theory: Curves and Periods
• Partition Functions of Matrix Models as the First Special Functions of String Theory I. Finite Size Hermitean 1-Matrix Model
• Whitham-Toda hierarchy and N = 2 supersymmetric Yang-Mills theory
• Minimal Higgs Branch for the Breaking of Half of the Supersymmetries in N=2 Supergravity
• N=1 and N=2 Geometry from Fluxes
• Seiberg-Witten Theory and Random Partitions
• RG Equations from Whitham Hierarchy
• Prepotential and the Seiberg-Witten Theory
• Matrix models vs. Seiberg-Witten/Whitham theories
• Extended Seiberg-Witten Theory and Integrable Hierarchy
• An Introduction to Supersymmetric Gauge Theories and Matrix Models
• The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory
• Complex Curve of the Two Matrix Model and its Tau-function
• Spontaneous N=2 --> N=1 local supersymmetry breaking with surviving local gauge group
• Matrix model approach to the N=2 U(N) gauge theory with matter in the fundamental representation
• DV and WDVV
• Whitham Hierarchies, Instanton Corrections and Soft Supersymmetry Breaking in N=2 SU(N) Super Yang-Mills Theory
• The N=2 gauge theory prepotential and periods from a perturbative matrix model calculation
• Calculating Gluino-Condensate Prepotential
• N=2 supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy
• Partial Breaking of N=2 Supersymmetry and of Gauge Symmetry in the U(N) Gauge Model
• Gluino-Condensate (CIV-DV) Prepotential from its Whitham-Time Derivatives
• Experiments with the WDVV equations for the gluino-condensate prepotential: the cubic (two-cut) case
• Supersymmetric U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry
• Supersymmetric U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry
• Partial Supersymmetry Breaking and N=2 U(N_c) Gauge Model with Hypermultiplets in Harmonic Superspace
• Supereigenvalue Model and Dijkgraaf-Vafa Proposal
• Whitham Prepotential and Superpotential
• On the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential
• N=2 Quiver Gauge Model and Partial Supersymmetry Breaking
• Extended N=1 super Yang-Mills theory
• Whitham Deformations and Tau Functions in N = 2 Supersymmetric Gauge Theories
• On the equivalence of N=1 brane worlds and geometric singularities with flux
• U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry
• The Chiral Ring and the Periods of the Resolvent
• U(N) Gauged N=2 Supergravity and Partial Breaking of Local N=2 Supersymmetry
• The Whitham Deformation of the Dijkgraaf-Vafa Theory
• Partial Breaking of N=2 Supersymmetry and Decoupling Limit of Nambu-Goldstone Fermion in U(N) Gauge Model
• Spontaneous Partial Breaking of N=2 Supersymmetry and the U(N) Gauge Model
• Consistency conditions in the chiral ring of super Yang-Mills theories
• The Proof of the Dijkgraaf-Vafa Conjecture and application to the mass gap and confinement problems
• Fractional branes and the gravity dual of partial supersymmetry breaking
• Gauged N=2 Supergravity and Partial Breaking of Extended Supersymmetry
• Deformation of Dijkgraaf-Vafa Relation via Spontaneously Broken N=2 Supersymmetry
• On supersymmetry breaking and the Dijkgraaf-Vafa conjecture
• Effective superpotential and partial breaking of N=2 supersymmetry

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• N=2 Quiver Gauge Model and Partial Supersymmetry Breaking
• Extended Supersymmetric Moduli Space and a SUSY/Non-SUSY Duality
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Low Energy Processes Associated with Spontaneously Broken N=2 Supersymmetry
• Quiver Gauge Theory and Extended Electric-magnetic Duality
• Extended $5d$ Seiberg-Witten Theory and Melting Crystal
• Effective superpotential and partial breaking of N=2 supersymmetry
• SUSY/Non-SUSY Duality in U(N) Gauge Model with Partially Broken N=2 Supersymmetry
• The Glueball Superpotential for G_2