The three-dimensional non-anticommutative superspace

Details The three-dimensional non-anticommutative superspace The three-dimensional non-anticommutative superspace

2006-07-13

arxiv.org/abs/hep-th/0607087v3

Phys.Rev. D74 (2006) 125016

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, revtex4, v3: some clarifications and references added, version accepted for publication in Phys.Rev.D

Scientific paper

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.

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