Double Field Theory at Order ${\alpha }^{\prime }$

Abstract

We investigate ${\alpha }^{\prime }$ corrections of bosonic strings in the framework of double field theory. The previously introduced "doubled ${\alpha }^{\prime }$-geometry" gives ${\alpha }^{\prime }$-deformed gauge transformations arising in the Green-Schwarz anomaly cancellation mechanism but does not apply to bosonic strings. These require a different deformation of the duality-covariantized Courant bracket which governs the gauge structure. This is revealed by examining the ${\alpha }^{\prime }$ corrections in the gauge algebra of closed string field theory. We construct a four-derivative cubic double field theory action invariant under the deformed gauge transformations, giving a first glimpse of the gauge principle underlying bosonic string ${\alpha }^{\prime }$ corrections. The usual metric and $b$-field are related to the duality covariant fields by non-covariant field redefinitions.

44 pages, v2: conclusion section edited

References in corpus (34)

• Double Field Theory
• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• Generalized metric formulation of double field theory
• Superspace Duality in Low-Energy Superstrings
• Background independent action for double field theory
• The gauge algebra of double field theory and Courant brackets
• The Spacetime of Double Field Theory: Review, Remarks, and Outlook
• Double Field Theory and N=4 Gauged Supergravity
• Exploring Double Field Theory
• Stringy differential geometry, beyond Riemann
• Symmetries of higher-order string gravity actions
• Doubled α'-Geometry
• Gauged Double Field Theory
• Double Field Theory Formulation of Heterotic Strings
• On the Riemann Tensor in Double Field Theory
• Large Gauge Transformations in Double Field Theory
• Manifest Duality in Low-Energy Superstrings
• N=1 Supersymmetric Double Field Theory
• Torsion-free generalized connections and Heterotic Supergravity
• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• Heterotic $\alpha$'-corrections in Double Field Theory
• Massive Type II in Double Field Theory
• Target Space Duality as a Symmetry of String Field Theory
• Algebroids, Heterotic Moduli Spaces and the Strominger System
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• On factorizations in perturbative quantum gravity
• Towards an invariant geometry of double field theory
• Consistent Compactification of Double Field Theory on Non-geometric Flux Backgrounds
• Superspace with manifest T-duality from type II superstring
• Natural curvature for manifest T-duality
• T-duality off shell in 3D Type II superspace
• Gauge and General Coordinate Invariance in Non-Polynomial Closed String Field Theory
• Field Redefinitions, T-duality and Solutions in Closed String Field Theories

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