TL;DR
This paper explores the BRST cohomology of N-supersymmetric worldlines for massless particles, discussing deformations of the BRST differential and potential inclusion of Ramond-Ramond fluxes in the background.
Contribution
It reviews the BRST cohomology for different N-supersymmetric worldlines and examines specific deformations related to gauge and metric connections.
Findings
Physical spin-N/2 fields are in the first BRST cohomology group.
Deformations of the BRST differential can implement gauge covariant derivatives.
Discussion on incorporating Ramond-Ramond fluxes in the background.
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.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Advanced Differential Geometry Research