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PARTICLES IN THE SUPERWORLDLINE AND BRST

Publication at Faculty of Mathematics and Physics |
2022

Abstract

In this short note we discuss N-supersymmetric worldlines of rela-tivistic 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.