Geodesic
Particles in the superworldline and BRST
Archivum mathematicum, Tome 58 (2022) no. 5, pp. 259-267 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.5817/AM2022-5-259
Classification : 70S10, 70S15, 81S10
Keywords: supersymmetry; spin; BRST cohomology; gauge theories; gravity 
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Boffo, Eugenia. Particles in the superworldline and BRST. Archivum mathematicum, Tome 58 (2022) no. 5, pp. 259-267. doi: 10.5817/AM2022-5-259

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