Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-07-13
J.Math.Phys. 46 (2005) 012303
Physics
High Energy Physics
High Energy Physics - Theory
41 pages, LaTeX
Scientific paper
10.1063/1.1823032
We investigate the problem of introducing consistent self-couplings in free theories for mixed tensor gauge fields whose symmetry properties are characterized by Young diagrams made of two columns of arbitrary (but different) lengths. We prove that, in flat space, these theories admit no local, Poincar\'e-invariant, smooth, self-interacting deformation with at most two derivatives in the Lagrangian. Relaxing the derivative and Lorentz-invariance assumptions, there still is no deformation that modifies the gauge algebra, and in most cases no deformation that alters the gauge transformations.Our approach is based on a BRST-cohomology deformation procedure.
Bekaert Xavier
Boulanger Nicolas
Cnockaert Sandrine
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