$\alpha'$-corrections and their double formulation

TL;DR

This paper introduces $oldsymbol{ extalpha'}$-corrections in string theory's gravitational sector and reformulates them using double field theory, providing new insights into string dualities and deformations.

Contribution

It presents a novel formulation of $oldsymbol{ extalpha'}$-corrections within double field theory, enhancing understanding of string theory deformations and dualities.

Findings

Reformulation of $oldsymbol{ extalpha'}$-corrections using double field theory

New techniques for string theory deformations

Insights into string dualities and gravitational corrections

Abstract

The present notes are based on three lectures, each ninety minutes long, prepared for the school 'Integrability, Dualities and Deformations', that ran from 23 to 27 August 2021 in Santiago de Compostela and virtually. These lectures, aimed at graduate students, require only a basic knowledge of string theory. The main goal is to introduce $\alpha'$-corrections to the gravitational sector of different formulations of closed string theory and to reformulate them using novel techniques based on double field theory.