Kalb--Ramond dipole solution in low-energy bosonic string theory

TL;DR

This paper constructs a new class of solutions in low-energy bosonic string theory describing a Kalb--Ramond dipole with nontrivial dilaton charge, expanding understanding of string theory configurations.

Contribution

It introduces a novel solution subspace for toroidally compactified bosonic string theory, specifically modeling a Kalb--Ramond dipole with asymptotic flatness and no Dirac string issues.

Findings

Derived asymptotically flat solutions without Dirac string singularities.

Described a Kalb--Ramond dipole with nontrivial dilaton charge.

Expanded the solution space for low-energy bosonic string theory.

Abstract

We construct a new solution subspace for the bosonic string theory toroidally compactified to 3 dimensions. This subspace corresponds to the complex harmonic scalar field coupled to the effective 3--dimensional gravity. We calculate a class of the asymptotically flat and free of the Dirac string peculiarity solutions which describes a Kalb--Ramond dipole source with the generally nontrivial dilaton charge.