Title

Lattice Sigma Models with Exact Supersymmetry

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
Sofiane Ghadab, Syracuse UniversityFollow

Document Type

Article

Date

5-18-2004

Language

English

Disciplines

Physics

Description/Abstract

We show how to construct lattice sigma models in one, two and four dimensions which exhibit an exact fermionic symmetry. These models are discretized and {\it twisted} versions of conventional supersymmetric sigma models with N=2 supersymmetry. The fermionic symmetry corresponds to a scalar BRST charge built from the original supercharges. The lattice theories possess local actions and in many cases admit a Wilson term to suppress doubles. In the two and four dimensional theories we show that these lattice theories are invariant under additional discrete symmetries. We argue that the presence of these exact symmetries ensures that no fine tuning is required to achieve N=2 supersymmetry in the continuum limit. As a concrete example we show preliminary numerical results from a simulation of the O(3) supersymmetric sigma model in two dimensions.

Additional Information

23 pages, 3 figures, formalism generalized to allow for explicit Wilson mass terms. New numerical results added. Version to be published in JHEP More information at http://arxiv.org/abs/hep-lat/0311042

Recommended Citation

Catterall, Simon and Ghadab, Sofiane, "Lattice Sigma Models with Exact Supersymmetry" (2004). Physics - All Scholarship. 461.
https://surface.syr.edu/phy/461

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.