Two-dimensional N = (2,2) super Yang-Mills theory on the lattice via dimensional reduction
Jul, 200519 pages
Published in:
- JHEP 10 (2005) 082
e-Print:
- hep-lat/0507019 [hep-lat]
Report number:
- IU-MSTP-70,
- RIKEN-TH-48,
- ITHEP-507,
- UTCCS-P-14
View in:
Citations per year
Abstract:
The N=(2,2) extended super Yang-Mills theory in 2 dimensions is formulated on the lattice as a dimensional reduction of a 4 dimensional lattice gauge theory. We use the plaquette action for a bosonic sector and the Wilson- or the overlap-Dirac operator for a fermion sector. The fermion determinant is real and, moreover, when the overlap-Dirac operator is used, semi-positive definite. The flat directions in the target theory become compact and present no subtlety for a numerical integration along these directions. Any exact supersymmetry does not exist in our lattice formulation: nevertheless we argue that one-loop calculable and finite mass counter terms ensure a supersymmetric continuum limit to all orders of perturbation theory.- lattice field theory: action
- gauge field theory: Yang-Mills
- supersymmetry
- dimension: 2
- dimensional reduction
- operator: Dirac
- fermion: determinant
- effective potential: flat direction
- mass: finite
- continuum limit
References(79)
Figures(0)