Manifest Supersymmetry in Non-Commutative Geometry
High Energy Physics - Theory
2009-10-31 v2
Abstract
We consider the open superstring ending on a D-brane in the presence of a constant NS-NS B field, using the Green-Schwarz formalism. Quantizing in the light-cone gauge, we find that the anti-commutation relations for the fermionic variables of superspace remain unmodified. We also derive the unbroken supersymmetry algebra living on the D-brane. This establishes how the Moyal product is extended in a superspace formulation of non-commutative field theories. The superfield formulation of non-commutative supersymmetric field theories is briefly considered.
Keywords
Cite
@article{arxiv.hep-th/9912153,
title = {Manifest Supersymmetry in Non-Commutative Geometry},
author = {Chong-Sun Chu and Frederic Zamora},
journal= {arXiv preprint arXiv:hep-th/9912153},
year = {2009}
}
Comments
LaTex file, 18 pages; v2, references added