Elsevier

Nuclear Physics B

Volume 212, Issue 3, 28 February 1983, Pages 413-442
Nuclear Physics B

Yang-Mills theories with local supersymmetry: Lagrangian, transformation laws and super-Higgs effect

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Abstract

We derive the lagrangian and transformation laws of the coupled Yang-Mills-matter-supergravity system for unextended n = 1 local supersymmetry. We study the super-Higgs effect and the normal Higgs effect of the Yang-Mills gauge group G. In the case of N chiral multiplets “minimally” coupled to supergravity, transforming according to some N-dimensional, generally reducible representation of G, we find a model-independent mass formula: Supertrace M2 = J=032 (−)2J(2J+1)mJ2= (N−1)(2m322−κ2DαDα) − 2gαDαTrTα, where m32 is the gravitino mass, κ and gα the gravitational and gauge couplings, respectively, Dα is the auxiliary component of the gauge multiplet of G and Tα the generators of G in the representation of the matter chiral multiplets.

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