Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-07-21
Phys.Lett. B633 (2006) 645-652
Physics
High Energy Physics
High Energy Physics - Lattice
15 pages, 11 figures
Scientific paper
10.1016/j.physletb.2005.12.034
We propose a lattice action for two dimensional super Yang-Mills theory with a twisted N=2 supersymmetry. The extended supersymmetry is fully and exactly realized on the lattice. The method employed is quite general and its extension to the N=4 supersymmetry in four dimensions is briefly presented. The lattice has a new type of ``fermionic'' links, where odd Grassmann variables, supercharges and fermionic connections sit. The Leibniz rule is preserved on the lattice, although in a modified ``shifted'' form that takes into account the link nature of both derivatives and supercharges. Superfields are semi-local objects and superfield expansion is naturally embedded in the lattice structure. The Dirac-K\"ahler twist generates the extended twisted supersymmetry, turning the multiplicity of species doublers into the multiplicity due to the extended supersymmetry. In this way the balance between bosonic and fermionic degrees of freedom is preserved.
D'Adda Alessandro
Kanamori Issaku
Kawamoto Noboru
Nagata Kazuhiro
No associations
LandOfFree
Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-437599