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Consistent deformations of [p,p]-type gauge field theories

Nicolas Boulanger·Sandrine Cnockaert
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Abstract

Using BRST-cohomological techniques, we analyze the consistent deformations of theories describing free tensor gauge fields whose symmetries are represented by Young tableaux made of two columns of equal length p, p>1. Under the assumptions of locality and Poincare invariance, we find that there is no consistent deformation of these theories that non-trivially modifies the gauge algebra and/or the gauge transformations. Adding the requirement that the deformation contains no more than two derivatives, the only possible deformation is a cosmological-constant-like term.

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Nicolas Boulanger, Sandrine Cnockaert. 2004-03-12. Consistent deformations of [p,p]-type gauge field theories. https://doi.org/10.1088/1126-6708%2F2004%2F03%2F031

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