期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP05(2012)126
关键词
Gauge Symmetry; String Duality; Differential and Algebraic Geometry
资金
- U.S. Department of Energy (DoE) [DE-FG02-05ER41360]
- DFG Transregional Collaborative Research Centre [TRR 33]
- DFG cluster of excellence Origin and Structure of the Universe
Double field theory provides T-duality covariant generalized tensors that are natural extensions of the scalar and Ricci curvatures of Riemannian geometry. We search for a similar extension of the Riemann curvature tensor by developing a geometry based on the generalized metric and the dilaton. We find a duality covariant Riemann tensor whose contractions give the Ricci and scalar curvatures, but that is not fully determined in terms of the physical fields. This suggests that alpha' corrections to the effective action require alpha' corrections to T-duality transformations and/or generalized diffeornorphisms. Further evidence to this effect is found by an additional computation that shows that there is no T-duality invariant four-derivative object built from the generalized metric and the dilaton that reduces to the square of the Riemann tensor.
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