Title

A Geometrical Approach to N=2 Super Yang-Mills Theory on the Two Dimensional Lattice

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow

Document Type

Article

Date

11-5-2004

Language

English

Disciplines

Physics

Description/Abstract

We propose a discretization of two dimensional Euclidean Yang-Mills theories with N=2 supersymmetry which preserves exactly both gauge invariance and an element of supersymmetry. The approach starts from the twisted form of the continuum super Yang Mills action which we show may be written in terms of two real Kahler-Dirac fields whose components transform into each other under the twisted supersymmetry. Once the theory is written in this geometrical language it is straightforward to discretize by mapping the component tensor fields to appropriate geometrical structures in the lattice and by replacing the continuum exterior derivative and its adjoint by appropriate lattice covariant difference operators. The lattice action is local and possesses a unique vacuum state while the use of Kahler-Dirac fermions ensures the model does not exhibit spectrum doubling.

Additional Information

Minor typos fixed. Version to be published in JHEP More information at http://arxiv.org/abs/hep-lat/0410052

Recommended Citation

Catterall, Simon, "A Geometrical Approach to N=2 Super Yang-Mills Theory on the Two Dimensional Lattice" (2004). Physics - All Scholarship. 459.
https://surface.syr.edu/phy/459

Source

Harvested from Arxiv.org

Creative Commons License

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