Ehlers Transformations and String Effective Action

Details Ehlers Transformations and String Effective Action Ehlers Transformations and String Effective Action

1995-03-21

arxiv.org/abs/hep-th/9503154v2

Phys.Lett. B358 (1995) 223-228

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, minor corrections, version to appear in Physics Letters B358

Scientific paper

10.1016/0370-2693(95)01035-O

We explicitly obtain the generalization of the Ehlers transformation for stationary axisymmetric Einstein equations to string theory. This is accomplished by finding the twist potential corresponding to the moduli fields in the effective two dimensional theory. Twist potential and symmetric moduli are shown to transform under an $O(d,d)$ which is a manifest symmetry of the equations of motion. The non-trivial action of this $O(d,d)$ is given by the Ehlers transformation and belongs to the set $O(d) \times O(d)\over O(d) $.

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