Abstract
We consider the solutions of vacuum Einstein equations in 4 + K dimensions with 2 + K commuting Killing vectors and show that this system possesses a series of discrete symmetries I (1) generalizing the Neugebauer-Kramer transformation which corresponds to the K = 0 case. When conjugated with the dual symmetry, we obtain a series of continuous symmetries generalizing the I 1 transformation of Neugebauer. We argue that the discrete symmetries are in fact symmetries for any generalized non-linear sigma models.
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