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Adjoint orbits, generalised parallelisable spaces and consistent truncations
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DOI：10.1007/JHEP02(2019)019.png)
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摘要
En 中文
The aim of this note is to present some new explicit examples of O(d, d)generalised Leibniz parallelisable spaces arising as the normal bundles of adjoint orbits of some semi-simple Lie group G. Using this construction, an explicit expression for a generalised frame is given in the case when the orbits are regular, but subtleties arise when they become degenerate. In the case of regular orbits, the resulting space is a globally flat fiber bundle over which can be made compact, allowing for a generalised Scherk-Schwartz reduction. This means these spaces should admit consistent supergravity truncations. For degenerate orbits, the procedure hinges on the existence of a suitable metric, allowing for a consistent normalisation of the generalised frame.
Keyword:
Differential and Algebraic Geometry
Supergravity Models
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期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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Duality invariant M-theory: gauged supergravities and Scherk-Schwarz reductions对偶不变M理论: 度量的超重力和scherk-schwarz约简
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