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Higher curvature Bianchi identities, generalized geometry, and L∞ algebras

Coimbra, A. (2019). Higher curvature Bianchi identities, generalized geometry, and L∞ algebras. Physical Review D, 100(10): 106001. doi:10.1103/PhysRevD.100.106001.

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1907.09501.pdf (Preprint), 350KB
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Creators:
Coimbra, Andre1, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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Free keywords: High Energy Physics - Theory, hep-th,Mathematics, Differential Geometry, math.DG
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 $d H = \tfrac{1}{4}\alpha'(\text{tr } F^2 - \text{tr } R^2)$. 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 $L_{\infty}$ gauge field theory, which terminates at a level ten multibracket.

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Dates: 2019-07-222019
Publication Status: Published in print
Pages: 50 pages
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Rev. Method: -
Identifiers: arXiv: 1907.09501
URI: http://arxiv.org/abs/1907.09501
DOI: 10.1103/PhysRevD.100.106001
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 100 (10) Sequence Number: 106001 Start / End Page: - Identifier: -