Construction of String Solutions around Non-trivial Backgrounds

TL;DR

This paper develops a method to construct string solutions in complex gravitational backgrounds using superconformal building blocks, revealing new symmetries and supersymmetries in such settings.

Contribution

It introduces a novel approach to build string solutions around non-trivial backgrounds with explicit superconformal symmetry realization.

Findings

Construction of solutions with $N=4$ superconformal symmetry

Two inequivalent realizations of non-trivial 4D subspaces

Emergence of target space covariant supersymmetries

Abstract

We present a way of constructing string solutions around non-trivial gravitational backgrounds. The proposed solutions are constructed using $N = 4$ superconformal building blocks with $\hat c = 4$. We give two different and inequivalent realizations of non-trivial four-dimensional subspaces, and we show the emergence of the $N = 4$ globally defined superconformal symmetry. The existence of $N = 4$ world-sheet symmetry stabilizes our solutions and implies in target space a number of covariantized supersymmetries around space-time dependent gravitational and dilaton backgrounds.