Address: Faculty of Mathematics and Physics, Mathematical Institute, Charles University Prague, Sokolovská 49/83, 186 75 Prague
E-mail: boffo@karlin.mff.cuni.cz
Abstract: 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.
AMSclassification: primary 81S10; secondary 70S10, 70S15.
Keywords: supersymmetry, spin, BRST cohomology, gauge theories, gravity.
DOI: 10.5817/AM2022-5-259