期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP02(2013)122
关键词
Differential and Algebraic Geometry; String theory and cosmic strings
资金
- Padova University [CPDA105015/10]
- MIUR-FIRB [RBFR10QS5J]
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 beta-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 beta 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 alpha'-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.
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