Double Field Theory and $\alpha'$ corrections: explicit examples

TL;DR

This paper constructs explicit solutions within Double Field Theory to explore string theory corrections beyond supergravity, including solutions with no quantum corrections and leading ' corrections to known geometries, highlighting the framework's versatility.

Contribution

It provides explicit solutions in DFT that incorporate ' corrections and identifies geometries unaffected by quantum corrections, advancing understanding of string theory beyond supergravity.

Findings

Constructed solutions with vanishing modified torsion in DFT.

Computed leading ' corrections to supergravity solutions.

Identified geometries invariant under quantum corrections.

Abstract

We construct several solutions of effective actions for string theories beyond the supergravity approximation utilizing the framework of the Double Field Theory (DFT). The DFT effective actions, which are well suited for accommodating abelian and non-abelian T dualities, are naturally written in terms of modified connections and curvatures with torsion. We construct the most general solutions with vanishing modified torsion, and such geometries don't receive quantum corrections. We also compute the leading $\alpha'$ corrections to several supergravity solutions, including a pair of geometries related by a non-abelian T duality.