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

Blumenhagen, Ralph; Deser, Andreas; Plauschinn, Erik; Rennecke, Felix

doi:10.1016/j.physletb.2013.02.004

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

Ralph Blumenhagen
(
- Munich, Max Planck Inst.
)
,
Andreas Deser
(
- Munich, Max Planck Inst.
)
,
Erik Plauschinn
(
- Padua U. and
- INFN, Padua
)
,
Felix Rennecke
(
- Munich, Max Planck Inst.
)

Oct, 2012

4 pages

Published in:

Phys.Lett.B 720 (2013) 215-218

Published: Mar 13, 2013

e-Print:

1210.1591 [hep-th]

DOI:

10.1016/j.physletb.2013.02.004

Report number:

MPP-2012-133,
DFPD-2012-TH-12

View in:

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Abstract: (Elsevier)

Inspired by recent studies on string theory with non-geometric fluxes, we develop a differential geometry calculus combining usual diffeomorphisms with what we call @b-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.

Note:

4 pages; v2: references added, typos corrected; v3: published version

action: Einstein-Hilbert
geometry: symplectic
differential geometry
field theory: noncommutative
string model
graviton
dilaton
Seiberg-Witten model
double field theory

References(20)

Figures(0)

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