engleski

Gauging Higher-Spin-Like Symmetries Using the Moyal Product

Well established approaches to gauging U(1) transformations or spacetime translations lead to theories of interacting bosons of spin 1 or spin 2. We describe a novel approach to gauging their higher derivative generalizations (i.e. higher-spin-like symmetries), leading to a Yang-Mills like theory defined over a symplectic manifold dubbed “master space”. The theory incorporates the starting symmetries by using the Moyal product, has a weakly non-local action functional and it is perturbatively stable. Coupling to matter in various representations is displayed. In the spin-2 sector we find a geometric description reminiscent of teleparallelism, with the induced linear connection related to Weitzenböck’s.

gauge symmetry ; higher spin symmetry ; non-commutative geometry ; higher spin gravity

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