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

2012

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

Blumenhagen, Ralph, Deser, Andreas, Plauschinn, Erik et al.

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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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