Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory

TL;DR

This paper investigates string winding corrections to supergravity solutions within double field theory, revealing that these corrections can be interpreted as worldsheet instanton effects and are naturally incorporated into DFT solutions.

Contribution

It provides a comprehensive analysis of winding coordinate dependence in DFT solutions, linking it to string worldsheet instanton corrections and exploring their origins in gauged linear sigma models.

Findings

Winding corrections are naturally included in DFT solutions.

Winding dependence can be interpreted as string worldsheet instanton effects.

Every supergravity solution has a corresponding DFT solution with winding corrections.

Abstract

We make a comprehensive study on the string winding corrections to supergravity solutions in double field theory (DFT). We find five-brane and wave solutions of diverse codimensions in which the winding coordinates are naturally included. We discuss a physical interpretation of the winding coordinate dependence. The analysis based on the geometric structures behind the solutions leads to an interpretation of the winding dependence as string worldsheet instanton corrections. We also give a brief discussion on the origins of these winding corrections in gauged linear sigma model. Our analysis reveals that for every supergravity solution, one has DFT solutions that include string winding corrections.