#### Document Type

Article

#### Date

10-4-2005

#### Language

English

#### Disciplines

Physics

#### Description/Abstract

We construct a lattice action for {\cal N}=4 super Yang-Mills theory in four dimensions which is local, gauge invariant, free of spectrum doubling and possesses a single exact supersymmetry. Our construction starts from the observation that the fermions of the continuum theory can be mapped into the component fields of a single real anticommuting Kahler-Dirac field. The original supersymmetry algebra then implies the existence of a nilpotent scalar supercharge Q and a corresponding set of bosonic superpartners. Using this field content we write down a Q-exact action and show that, with an appropriate change of variables, it reduces to a well-known twist of {\cal N}=4 super Yang-Mills theory due to Marcus. Using the discretization prescription developed in an earlier paper on the {\cal N}=2 theory in two dimensions we are able to translate this geometrical action to the lattice

#### Repository Citation

Catterall, Simon, "Lattice Formulation of {\cal N}=4 Super Yang-Mills Theory" (2005). *Physics.* Paper 458.

http://surface.syr.edu/phy/458

#### Source

Harvested from Arxiv.org

#### Creative Commons License

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

## Additional Information

15 pages. 1 reference corrected More information at http://arxiv.org/abs/hep-lat/0503036