A modification of the 10d superparticle action inspired by the Gupta-Bleuler quantization scheme method

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, LaTeX, to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)00613-3

We reconsider the issue of the existence of a complex structure in the Gupta-Bleuler quantization scheme. We prove an existence theorem for the complex structure associated with the $d=10$ Casalbuoni-Brink-Schwarz superparticle, based on an explicitly constructed Lagrangian that allows a holomorphic-antiholomorphic splitting of the fermionic constraints consistent with the vanishing of all first class constraints on the physical states.

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