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

A. A. Deriglazov·A. V. Galajinsky
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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.

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A. A. Deriglazov, A. V. Galajinsky. 1996-04-02. The Green--Schwarz Superstring in Extended Configuration Space and Infinitely Reducible First Class Constraints Problem. https://doi.org/10.1103/physrevd.54.5195

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