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Lattice Supersymmetry via Twisting

High Energy Physics - Lattice 2009-11-10 v1

Abstract

We describe how the usual supercharges of extended supersymmetry may be {\it twisted} to produce a BRST-like supercharge QQ. The usual supersymmetry algebra is then replaced by a twisted algebra and the action of the twisted theory is shown to be generically QQ-exact. In flat space the twisting procedure can be regarded as a change of variables carrying no physical significance. However, the twisted theories can often be transferred to the lattice while preserving the twisted supersymmetry. As an example we construct a lattice version of the two-dimensional supersymmetric sigma model.

Keywords

Cite

@article{arxiv.hep-lat/0409015,
  title  = {Lattice Supersymmetry via Twisting},
  author = {Simon Catterall},
  journal= {arXiv preprint arXiv:hep-lat/0409015},
  year   = {2009}
}

Comments

Contribution to Lattice2004(theory)