Homogeneous heterotic supergravity solutions with linear dilaton

TL;DR

This paper constructs explicit solutions to heterotic supergravity equations on specific homogeneous spaces, featuring a linear dilaton and non-vanishing bosonic fields, advancing understanding of string theory backgrounds.

Contribution

It provides new homogeneous solutions with linear dilaton profiles on non-symmetric cosets, expanding the landscape of known heterotic supergravity backgrounds.

Findings

Solutions satisfy BPS-equations with non-zero bosonic fields

Dilaton varies linearly on non-compact spacetime parts

Solutions are constructed on non-symmetric coset spaces

Abstract

I construct solutions to the heterotic supergravity BPS-equations on products of Minkowski space with a non-symmetric coset. All of the bosonic fields are homogeneous and non-vanishing, the dilaton being a linear function on the non-compact part of spacetime.