${\alpha }^{\prime }$-corrections and their double formulation

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 ${\alpha }^{\prime }$-corrections to the gravitational sector of different formulations of closed string theory and to reformulate them using novel techniques based on double field theory.

59 pages. V2: Assorted typos fixed

References in corpus (16)

• The Swampland: Introduction and Review
• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Differential geometry with a projection: Application to double field theory
• Gauged Double Field Theory
• Double Field Theory Formulation of Heterotic Strings
• Double Field Theory at Order ${\alpha }^{\prime }$
• Ramond-Ramond Cohomology and O(D,D) T-duality
• Heterotic $\alpha$'-corrections in Double Field Theory
• Heterotic Effective Action and Duality Symmetries Revisited
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• O(D,D) and the string ${\alpha }^{\prime }$ expansion: An obstruction
• Generalized Dualities and Higher Derivatives
• On the curious spectrum of duality invariant higher-derivative gravity
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• T-duality equivalences beyond string theory

Cited by in corpus (5)

• Heterotic Kerr-Schild Double Field Theory and its double Yang-Mills formulation
• Double Field Theory with matter and the generalized Bergshoeff-de Roo identification
• Non-closed scalar charge in four-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics
• Duality invariant string beta functions at two loops
• Duality covariant field redefinitions