New Results from Glueball Superpotentials and Matrix Models: the Leigh-Strassler Deformation

Abstract

Using the result of a matrix model computation of the exact glueball superpotential, we investigate the relevant mass perturbations of the Leigh-Strassler marginal ``q'' deformation of N=4 supersymmetric gauge theory. We recall a conjecture for the elliptic superpotential that describes the theory compactified on a circle and identify this superpotential as one of the Hamiltonians of the elliptic Ruijsenaars-Schneider integrable system. In the limit that the Leigh-Strassler deformation is turned off, the integrable system reduces to the elliptic Calogero-Moser system which describes the N=1^* theory. Based on these results, we identify the Coulomb branch of the partially mass-deformed Leigh-Strassler theory as the spectral curve of the Ruijsenaars-Schneider system. We also show how the Leigh-Strassler deformation may be obtained by suitably modifying Witten's M theory brane construction of N=2 theories.

13 pages, JHEP, amstex, changed JHEP to JHEP3

References in corpus (5)

• A Perturbative Window into Non-Perturbative Physics
• Exploring Small Extra Dimensions at the Large Hadron Collider
• S-duality of the Leigh-Strassler Deformation via Matrix Models
• Exact Superpotentials from Matrix Models
• Massive Vacua of N=1* Theory and S-duality from Matrix Models

Cited by in corpus (13)

• An Introduction to Supersymmetric Gauge Theories and Matrix Models
• S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills
• On the Coulomb Branch of a Marginal Deformation of N=4 SUSY Yang-Mills
• Super Yang-Mills With Flavors From Large N_f Matrix Models
• Five-Dimensional Gauge Theories and Quantum Mechanical Matrix Models
• Note on Matrix Model with Massless Flavors
• Critical Points of Glueball Superpotentials and Equilibria of Integrable Systems
• The Coulomb branch of the Leigh-Strassler deformation and matrix models
• Matrix Models, Monopoles and Modified Moduli
• Solving matrix models using holomorphy
• Counting conifolds and Dijkgraaf-Vafa matrix models for three matrices
• Vacua of N=1 Supersymmetric QCD from Spin Chains and Matrix Models
• Chiral rings, anomalies and loop equations in N=1* gauge theories