Covariant first and second quantization of the N = 2, D = 10 Brink-Schwarz superparticle |
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Institution: | 1. Physics Department, Jazan University, P.O. Box 114, 45142 Jazan, Kingdom of Saudi Arabia;2. Network Dynamics, Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen, Germany |
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Abstract: | Using a new type of harmonic superspace variables, we reduce the N = 2, D = 10 Brink-Schwarz (BS) superparticle to a system whose constraints are (i) first class, (ii) functionally independent and (iii) Lorentz covariant. We show that these features are essential for a correct covariant quantization. QBRST is first rank. By using it to second quantize the system, we obtain a covariant off-shell unconstrained superfield action of the linearized D = 10 type IIB supergravity. A corresponding procedure for the Green Schwarz (GS) superstring is conjectured. |
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