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arXiv · 1210.1591

A bi-invariant Einstein-Hilbert action for the non-geometric string

Ralph Blumenhagen·Andreas Deser·Erik Plauschinn·Felix Rennecke
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Abstract

Inspired by recent studies on string theory with non-geometric fluxes, we develop a differential geometry calculus combining usual diffeomorphisms with what we call beta-diffeomorphisms. This allows us to construct a manifestly bi-invariant Einstein-Hilbert type action for the graviton, the dilaton and a dynamical (quasi-)symplectic structure. The equations of motion of this symplectic gravity theory, further generalizations and the relation to the usual form of the string effective action are discussed. The Seiberg-Witten limit, known for open strings to relate commutative with non-commutative theories, makes an interesting appearance.

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Ralph Blumenhagen, Andreas Deser, Erik Plauschinn, Felix Rennecke. 2013-04-15. A bi-invariant Einstein-Hilbert action for the non-geometric string. https://doi.org/10.1016/j.physletb.2013.02.004

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