The Green--Schwarz Superstring in Extended Configuration Space and Infinitely Reducible First Class Constraints Problem

Abstract

The Green--Schwarz superstring action is modified to include some set of additional (on-shell trivial) variables. A complete constraints system of the theory turns out to be reducible both in the original and in additional variable sectors. The initial $8s$ first class constraints and $8c$ second class ones are shown to be unified with $8c$ first and $8s$ second class constraints from the additional variables sector, resulting with $SO(1,9)$-covariant and linearly independent constraint sets. Residual reducibility proves to fall on second class constraints only.

14 pages, LaTeX

References in corpus (3)

• Quantization of Higher Spin Superfields in the anti-de Sitter Superspace
• Unified Constrained Dynamics
• On the equivalence between the unified and standard versions of constraint dynamics

Cited by in corpus (5)

• A Problem with the Superstring Action of Deriglazov and Galajinsky
• A Covariant Action for the Eleven Dimensional Superstring
• Supplementation of reducible constraints and the Green-Schwarz superstring
• Siegel superparticle, higher order fermionic constraints, and path integrals
• On possible generalization of the superstring action to eleven dimensions