The three-dimensional non-anticommutative superspace
High Energy Physics - Theory
2015-06-26 v3
Abstract
We propose two alternative formulations for a three-dimensional non-anticommutative superspace in which some of the fermionic coordinates obey Clifford anticommutation relations. For this superspace, we construct the supersymmetry generators satisfying standard anticommutation relations and the corresponding supercovariant derivatives. We formulate a scalar superfield theory in such a superspace and calculate its propagator. We also suggest a prescription for the introduction of interactions in such theories.
Cite
@article{arxiv.hep-th/0607087,
title = {The three-dimensional non-anticommutative superspace},
author = {A. F. Ferrari and M. Gomes and J. R. Nascimento and A. Yu. Petrov and A. J. da Silva},
journal= {arXiv preprint arXiv:hep-th/0607087},
year = {2015}
}
Comments
9 pages, revtex4, v3: some clarifications and references added, version accepted for publication in Phys.Rev.D