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Particles in the superworldline and BRST. (English) Zbl 07655747

Summary: In this short note we discuss \(N\)-supersymmetric worldlines of relativistic massless particles and review the known result that physical spin-\(N/2\) fields are in the first BRST cohomology group. For \(N=1,2,4\), emphasis is given to particular deformations of the BRST differential, that implement either a covariant derivative for a gauge theory or a metric connection in the target space seen by the particle. In the end, we comment about the possibility of incorporating Ramond-Ramond fluxes in the background.

MSC:

81S10 Geometry and quantization, symplectic methods
70S10 Symmetries and conservation laws in mechanics of particles and systems
70S15 Yang-Mills and other gauge theories in mechanics of particles and systems
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