The fundamental non critical string

TL;DR

This paper derives a supergravity solution describing a fundamental string in a non-critical string vacuum with a specific geometric structure, extending known solutions to arbitrary dimensions below ten.

Contribution

It provides a new supergravity solution for a fundamental string in non-critical string theory, localized at two points, and analyzes its properties and stability.

Findings

Solution valid in regions far from both origins.

Preserves a fraction of supersymmetry for even dimensions.

Extends known critical string solutions to non-critical cases.

Abstract

We obtain the (super) gravity solution in arbitrary space-time dimension less than ten, that gives a low energy description of a fundamental string embedded in a non critical vacuum, product of $d$-dimensional Minkowski space-time and a cigar-like geometry with scale $r_0$. This solution, one of the few known examples of objects doubly localized, both at the origin of the transverse space as well as at the tip of the cigar, is determined by its charge $Q$ under the Kalb-Ramond gauge field $B$, and presumably preserves, for even $d$, $2^\frac{d}{2}$ supercharges. Moreover, we show that the solution is reliable at least in a region far away from both origins, as it is the case with the well known branes of critical string theory.