Exact extended supersymmetry on a lattice: Twisted N = 2 superYangMills in two dimensions
Abstract
We propose a lattice action for twodimensional superYangMills 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 semilocal objects and superfield expansion is naturally embedded in the lattice structure. The DiracKähler 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.
 Publication:

Physics Letters B
 Pub Date:
 February 2006
 DOI:
 10.1016/j.physletb.2005.12.034
 arXiv:
 arXiv:heplat/0507029
 Bibcode:
 2006PhLB..633..645D
 Keywords:

 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 15 pages, 11 figures