### Abstract

We describe how the usual supercharges of extended supersymetry may be twisted to produce a BRST-like supercharge Q. The usual supersymmetry algebra is then replaced by a twisted algebra and the action of the twisted theory is shown to be generically Q-exact. In flat space the twisting procedure can be regared 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 supersymmetry sigma model.

Original language | English (US) |
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Pages (from-to) | 751-753 |

Number of pages | 3 |

Journal | Nuclear Physics B - Proceedings Supplements |

Volume | 140 |

Issue number | SPEC. ISS. |

DOIs | |

State | Published - Mar 2005 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics

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## Cite this

Catterall, S. (2005). Lattice supersymmetry via twisting.

*Nuclear Physics B - Proceedings Supplements*,*140*(SPEC. ISS.), 751-753. https://doi.org/10.1016/j.nuclphysbps.2004.11.186