Generalized dilaton-Maxwell cosmic string and wall solutions

TL;DR

This paper extends static dilaton-Maxwell cosmic string and wall solutions to include dynamical, traveling wave solutions, and explores their applications in string theory using S-duality and SL(2,R) invariance.

Contribution

It introduces a new class of dynamical solutions for dilaton-electrodynamics, expanding the static solutions to include traveling waves and applying these to string theory contexts.

Findings

Derived dynamical solutions supporting large traveling waves.

Applied S-duality to generate more general solitonic solutions.

Found solutions for axion, dilaton, and Maxwell fields in heterotic string theory.

Abstract

The class of static solutions found by Gibbons and Wells for dilaton-electrodynamics in flat spacetime, which describe nontopological strings and walls that trap magnetic flux, is extended to a class of dynamical solutions supporting arbitrarily large, nondissipative traveling waves, using techniques previously applied to global and local topological defects. These solutions can then be used in conjunction with S-duality to obtain more general solitonic solutions for various axidilaton-Maxwell theories. As an example, a set of dynamical solutions is found for axion, dilaton, and Maxwell fields in low energy heterotic string theory using the SL(2,R) invariance of the equations of motion.