Supplementation of reducible constraints and the Green-Schwarz superstring

TL;DR

This paper applies a constraint supplementation method to the Green-Schwarz superstring, achieving covariant separation and irreducibility of constraints, thus simplifying the analysis of superstring theories.

Contribution

It introduces a modified action for the Green-Schwarz superstring that covariantly separates and makes constraints irreducible, enhancing the theoretical framework.

Findings

Covariant separation of constraints achieved for type IIB superstring.

Modified action renders fermionic first class constraints irreducible.

Formulation for type IIA superstring with irreducible second class constraints.

Abstract

We apply the supplementation trick [26] to the Green-Schwarz superstring. For type IIB theory both first and second class constraints are covariantly separated and then arranged into irreducible sets in the initial formulation. For N=1 Green-Schwarz superstring we propose a modified action which is equivalent to the initial one. Fermionic first and second class constraints are covariantly separated, the first class constraints turn out to be irreducible. We discuss also equations of motion in the covariant gauge for $\kappa$-symmetry. For type IIA theory the same modification leads to formulation with irreducible second class constraints.