Higher curvature Bianchi identities, generalised geometry and $L_{\infty}$ algebras

DOI10.1103/PHYSREVD.100.106001arXiv1907.09501MaRDI QIDQ6322509

Publication date: 22 July 2019

Abstract: The Bianchi identities for bosonic fluxes in supergravity can receive higher derivative quantum and string corrections, the most well known being that of Heterotic theory

d H = f r a c 14 a l p h a^{'} (e x t t r F^{2} - e x t t r R^{2})

. Less studied are the modifications at order

R^{4}

that may arise, for example, in the Bianchi identity for the seven-form flux of M theory compactifications. We argue that such corrections appear to be incompatible with the exceptional generalised geometry description of the lower order supergravity, and seem to imply a gauge algebra for the bosonic potentials that cannot be written in terms of an (exceptional) Courant bracket. However, we show that this algebra retains the form of an

L_{i n f t y}

gauge field theory, which terminates at a level ten multibracket for the case involving just the seven-form flux.

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