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 (9)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Gauged Double Field Theory
• Double Field Theory Formulation of Heterotic Strings
• Heterotic $\alpha$'-corrections in Double Field Theory
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• Superspace with manifest T-duality from type II superstring
• T-duality off shell in 3D Type II superspace
• Field Redefinitions, T-duality and Solutions in Closed String Field Theories

Cited by in corpus (8)

• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Heterotic $\alpha$'-corrections in Double Field Theory
• Heterotic Effective Action and Duality Symmetries Revisited
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• Double Field Theory on Group Manifolds
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• Dimensional Reduction of the Generalized DBI
• Loop Corrections in Double Field Theory: Non-trivial Dilaton Potentials