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In this short note we discuss -supersymmetric worldlines of relativistic massless particles and review the known result that physical spin- fields are in the first BRST cohomology group. For , 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.
The abstract mathematical structure behind the positive energy quantization of linear classical systems is described. It is separated into three stages: the description of a classical system, the algebraic quantization and the Hilbert space quantization. Four kinds of systems are distinguished: neutral bosonic, neutral bosonic, charged bosonic and charged fermionic. The formalism that is described follows closely the usual constructions employed in quantum physics to introduce noninteracting quantum...
In this paper I discuss quantum systems whose Hamiltonians are non-Hermitian but whose
energy levels are all real and positive. Such theories are required to be symmetric under
, but not symmetric under and separately.
Recently, quantum mechanical systems having such properties have been investigated in
detail. In this paper I extend the results to quantum field theories. Among the systems
that I discuss are and theories. These theories all have unexpected
and remarkable properties. I discuss...
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