Non-commutativity and Supersymmetry

Details Non-commutativity and Supersymmetry Non-commutativity and Supersymmetry

2002-01-31

arxiv.org/abs/hep-th/0201259v2

JHEP 0203 (2002) 012

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX; a reference added

Scientific paper

10.1088/1126-6708/2002/03/012

We study the extent to which the gauge symmetry of abelian Yang-Mills can be deformed under two conditions: first, that the deformation depend on a two-form scale. Second, that the deformation preserve supersymmetry. We show that (up to a single parameter) the only allowed deformation is the one determined by the star product. We then consider the supersymmetry algebra satisfied by NCYM expressed in commutative variables. The algebra is peculiar since the supercharges are not gauge-invariant. However, the action, expressed in commutative variables, appears to be quadratic in fermions to all orders in theta.

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