Title

First Results from Simulations of Supersymmetric Lattices

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow

Document Type

Article

Date

1-20-2009

Language

English

Disciplines

Physics

Description/Abstract

We conduct the first numerical simulations of lattice theories with exact supersymmetry arising from the orbifold constructions of \cite{Cohen:2003xe,Cohen:2003qw,Kaplan:2005ta}. We consider the \cQ=4 theory in D=0,2 dimensions and the \cQ=16 theory in D=0,2,4 dimensions. We show that the U(N) theories do not possess vacua which are stable non-perturbatively, but that this problem can be circumvented after truncation to SU(N). We measure the distribution of scalar field eigenvalues, the spectrum of the fermion operator and the phase of the Pfaffian arising after integration over the fermions. We monitor supersymmetry breaking effects by measuring a simple Ward identity. Our results indicate that simulations of {\cal N}=4 super Yang-Mills may be achievable in the near future.

Additional Information

25 pages, 14 figures, 9 tables. 3 references added More information at http://arxiv.org/abs/0811.1203

Recommended Citation

Catterall, Simon, "First Results from Simulations of Supersymmetric Lattices" (2009). Physics - All Scholarship. 443.
https://surface.syr.edu/phy/443

Source

Harvested from Arxiv.org

Creative Commons License

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