Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-01-26
Int.J.Mod.Phys.A23:4841-4859,2008
Physics
High Energy Physics
High Energy Physics - Theory
20 pages
Scientific paper
10.1142/S0217751X08041232
The interactions that can be introduced between a massless Rarita-Schwinger field and an Abelian three-form gauge field in eleven spacetime dimensions are analyzed in the context of the deformation of the free solution of the master equation combined with local BRST cohomology. Under the hypotheses of smoothness of the interactions in the coupling constant, locality, Poincare invariance, Lorentz covariance, and the presence of at most two derivatives in the Lagrangian of the interacting theory (the same number of derivatives like in the free Lagrangian), we prove that there are neither cross-couplings nor self-interactions for the gravitino in D=11.The only possible term that can be added to the deformed solution to the master equation is nothing but a generalized Chern-Simons term for the three-form gauge field, which brings contributions to the deformed Lagrangian, but does not modify the original, Abelian gauge transformations.
Cioroianu E. M.
Diaconu E.
Sararu S. C.
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