Green-Schwarz Superstrings on AdS_3 and the Boundary N=4 Superconformal Algebra

TL;DR

This paper explores the equivalence of Green-Schwarz and NSR superstring formulations on AdS_3 with NS flux, and constructs the boundary N=4 superconformal algebra using affine Lie superalgebra free fields, also deriving an N=4 super-Liouville theory.

Contribution

It demonstrates the equivalence between NSR and GS superstrings via field redefinition and realizes the boundary N=4 superconformal algebra with affine Lie superalgebra free fields, also deriving an effective super-Liouville theory.

Findings

Field redefinition shows NSR and GS superstring equivalence.

Boundary N=4 superconformal algebra realized by affine Lie superalgebra.

Derived N=4 super-Liouville theory for the D1-D5 system.

Abstract

We study the hybrid formulation of Green-Schwarz superstrings on AdS_3 with NS flux and the boundary N=4 superconformal algebra. We show the equivalence between the NSR and GS superstrings by a field redefinition. The boundary N=4 superconformal algebra is realized by the free fields of the affine Lie superalgebra A(1|1)^{(1)}. We also consider the light-cone gauge and obtain the N=4 super-Liouville theory which describes the effective theory of the single long string near the singularities of the D1-D5 system.