New results from glueball superpotentials and matrix models: The Leigh-Strassler deformation

Dec, 2002
14 pages
Published in:
  • JHEP 04 (2003) 025
e-Print:
Report number:
  • SWAT-361

Citations per year

200220032004200520063901
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.
  • gauge field theory: Yang-Mills
  • supersymmetry
  • field theory: deformation
  • Seiberg-Witten model
  • geometry: algebra
  • Hamiltonian formalism
  • analytic properties