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Green-Schwarz mechanism and $\alpha'$-deformed Courant brackets

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arxiv 1407.0708 v2 pith:LAYP3DRC submitted 2014-07-02 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords alphagaugegeometrycourantdeformedgeneralizedgreen-schwarzmechanism
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abstract

We establish that the unusual two-form gauge transformations needed in the Green-Schwarz anomaly cancellation mechanism fit naturally into an $\alpha'$-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 $\alpha'$-geometry', which provides a construction of exactly gauge and T-duality invariant $\alpha'$ corrections to the effective action.

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Cited by 2 Pith papers

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  1. The non-relativistic limit of HSZ Theory

    hep-th 2025-05 conditional novelty 6.0 of 10

    The non-relativistic limit of HSZ theory produces non-removable metric and b-field transformation corrections, and a finite four-derivative action requires field redefinitions before the limit.

  2. Mega-Space Current Algebra and Green-Schwarz Geometry in Heterotic String Theory

    hep-th 2026-07 conditional novelty 5.0 of 10

    A Poláček-Siegel mega-space current algebra with Lorentz and heterotic gauge sectors embeds Chern-Simons structures and yields a Green-Schwarz-like Bianchi identity from Jacobi identities, without the α′ tr(R∧R) term.

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