Lattice formulation of ${\cal N}=4$ super Yang-Mills theory

Details Lattice formulation of ${\cal N}=4$ super Yang-Mills theory Lattice formulation of ${\cal N}=4$ super Yang-Mills theory

2005-03-26

arxiv.org/abs/hep-lat/0503036v3

JHEP0506:027,2005

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages. 1 reference corrected

Scientific paper

10.1088/1126-6708/2005/06/027

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.

Affiliated with

Also associated with

No associations

Rating

Lattice formulation of ${\cal N}=4$ super Yang-Mills theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lattice formulation of ${\cal N}=4$ super Yang-Mills theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lattice formulation of ${\cal N}=4$ super Yang-Mills theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-93262