Twisted Superspace
High Energy Physics - Theory
2008-11-26 v2
Abstract
We formulate the ten-dimensional super-Yang-Mills theory in a twisted superspace with 8+1 supercharges. Its constraints do not imply the equations of motion and we solve them. As a preliminary step for a complete formulation in a twisted superspace, we give a superspace path-integral formulation of the N=2, d=4 super-Yang-Mills theory without matter. The action is the sum of a Chern--Simons term depending on a super-connection plus a BF-like term. The integration over the superfield B implements the twisted superspace constraints on the super-gauge field, and the Chern-Simons action reduces to the known action in components.
Cite
@article{arxiv.0802.1980,
title = {Twisted Superspace},
author = {Laurent Baulieu and Guillaume Bossard and Alexis Martin},
journal= {arXiv preprint arXiv:0802.1980},
year = {2008}
}