Supplementation of reducible constraints and the Green-Schwarz superstring

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.

14 pages, LaTex twice, Minor corrections

References in corpus (2)

• Super-Poincare Covariant Quantization of the Superstring
• Modified N=1 Green-Schwarz superstring with irreducible first class constraints

Cited by in corpus (4)

• Noncommutative relativistic particle on the electromagnetic background
• Quantum mechanics on noncommutative plane and sphere from constrained systems
• Conversion of second class constraints by deformation of Lagrangian local symmetries
• Gauge invariant actions for the noncommutative phase-space relativistic particle