Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids
Nov, 2012
42 pages
Published in:
- JHEP 02 (2013) 122
e-Print:
- 1211.0030 [hep-th]
Report number:
- MPP-2012-147,
- DFPD-2012-TH-14
View in:
Citations per year
Abstract: (Springer)
Based on the structure of a Lie algebroid for non-geometric fluxes in string theory, a differential-geometry calculus is developed which combines usual diffeomorphisms with so-called β-diffeomorphisms emanating from gauge symmetries of the Kalb-Ramond field. This allows to construct a bi-invariant action of Einstein-Hilbert type comprising a metric, a (quasi-)symplectic structure β and a dilaton. As a salient feature, this symplectic gravity action and the resulting equations of motion take a form which is similar to the standard action and field equations. Furthermore, the two actions turn out to be related via a field redefinition reminiscent of the Seiberg-Witten limit. Remarkably, this redefinition admits a direct generalization to higher-order α′-corrections and to the additional fields and couplings appearing in the effective action of the superstring. Simple solutions to the equations of motion of the symplectic gravity action, including Calabi-Yau geometries, are discussed.Note:
- 42 pages; v2: published version
- gravitation: action
- action: Einstein-Hilbert
- symplectic
- differential geometry
- string
- Lie
- effective action
- diffeomorphism
- superstring
- Calabi-Yau
References(38)
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