Double field theory at order \(\alpha'\)

DOI10.1007/JHEP11(2014)075zbMATH Open1333.81340arXiv1407.3803MaRDI QIDQ271451

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Publication date: 7 April 2016

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Abstract: We investigate $alph{a}^{\prime }$ corrections of bosonic strings in the framework of double field theory. The previously introduced "doubled $alph{a}^{\prime }$-geometry" gives $alph{a}^{\prime }$-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 $alph{a}^{\prime }$ 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 $alph{a}^{\prime }$ corrections. The usual metric and $b$-field are related to the duality covariant fields by non-covariant field redefinitions.

Full work available at URL: https://arxiv.org/abs/1407.3803

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