Dyonic branes and linear dilaton background

TL;DR

This paper explores new dyonic p-brane solutions within a linear dilaton background, revealing asymptotically non-flat configurations and analyzing their thermodynamic properties.

Contribution

It identifies the most general dyonic brane solutions with regular horizons on fluxed linear dilaton backgrounds, including novel asymptotic behaviors and dual configurations.

Findings

Discovered two classes of asymptotically non-flat dyonic brane solutions.

Established thermodynamic consistency of the new solutions.

Connected solutions to S-duality and known configurations.

Abstract

We study dyonic solutions to the gravity-dilaton-antisymmetric form equations with the goal of identifying new $p$-brane solutions on the fluxed linear dilaton background. Starting with the generic solutions constructed by reducing the system to decoupled Liouville equations for certain values of parameters, we identify the most general solution whose singularities are hidden behind a regular event horizon, and then explore the admissible asymptotic behaviors. In addition to known asymptotically flat dyonic branes, we find two classes of asymptotically non-flat solutions which can be interpreted as describing magnetically charged branes on the electrically charged linear dilaton background (and the $S$-dual configuration of electrically charged branes on the magnetically charged background), and uncharged black branes on the dyonically charged linear dilaton background. This interpretation is shown to be consistent with the first law of thermodynamics for the new solutions.