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Journal Article

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

##### Fulltext (public)

1907.09501.pdf

(Preprint), 350KB

PhysRevD.100.106001.pdf

(Publisher version), 273KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

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

Cite as: http://hdl.handle.net/21.11116/0000-0004-76EA-0

##### 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.