Some aspects of deformations of supersymmetric field theories | Zendy

S. Ferrara | Zendy; M. A. Lledó | Zendy

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Some aspects of deformations of supersymmetric field theories

Author(s) -

S. Ferrara,

M. A. Lledó

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/05/008

Subject(s) - superspace , multiplet , supersymmetry , physics , commutative property , mathematical physics , abelian group , gauge theory , theoretical physics , d term , field theory (psychology) , quantum mechanics , mathematics , pure mathematics , spectral line

We investigate some aspects of Moyal-Weyl deformations of superspace andtheir compatibility with supersymmetry. For the simplest case, when onlybosonic coordinates are deformed, we consider a four dimensional supersymmetricfield theory which is the deformation of the Wess-Zumino renormalizable theoryof a chiral superfield. We then consider the deformation of a free theory of anabelian vector multiplet, which is a non commutative version of the rank oneYang-Mills theory. We finally give the supersymmetric version of the$\alpha'\mapsto 0$ limit of the Born-Infeld action with a B-field turned on,which is believed to be related to the non commutative U(1) gauge theory.Comment: AMS LaTeX, 24 pages. References added, some misprints correcte

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