Green-Schwarz mechanism and \(\alpha'\)-deformed Courant brackets

DOI10.1007/JHEP01(2015)012zbMATH Open1388.81547arXiv1407.0708OpenAlexW2124525460MaRDI QIDQ1754764

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Publication date: 31 May 2018

Published in: (Search for Journal in Brave)

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

Full work available at URL: https://arxiv.org/abs/1407.0708

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