Yang-Mills theories with local supersymmetry: Lagrangian, transformation laws and super-Higgs effect
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: SupertraceM2 = limit∑J=0{3}/{2} (-) 2J(2J+1)m J2= (N-1)(2m {3}/{2}2-κ 2D αD α) - 2 overlinegαD αTrT α, where m {3}/{2} is the gravitino mass, κ and overlinegα 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.
- Publication:
-
Nuclear Physics B
- Pub Date:
- February 1983
- DOI:
- 10.1016/0550-3213(83)90679-X
- Bibcode:
- 1983NuPhB.212..413C