Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets

Abstract

We establish that the unusual two-form gauge transformations needed in the Green-Schwarz anomaly cancellation mechanism fit naturally into an ${\alpha }^{\prime }$-deformed generalized geometry. The algebra of gauge transformations is a consistent deformation of the Courant bracket and features a nontrivial modification of the diffeomorphism group. This extension of generalized geometry emerged from a `doubled ${\alpha }^{\prime }$-geometry', which provides a construction of exactly gauge and T-duality invariant ${\alpha }^{\prime }$ corrections to the effective action.

22 pages, v2: refs. added

References in corpus (6)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Double Field Theory Formulation of Heterotic Strings
• Double Field Theory at Order ${\alpha }^{\prime }$
• Heterotic $\alpha$'-corrections in Double Field Theory
• Finite Gauge Transformations and Geometry in Double Field Theory

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