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 I1 transformation of Neugebauer. We argue that the discrete symmetries are in fact symmetries for any generalized non-linear sigma models.
|Number of pages||5|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|State||Published - 5 Dec 1985|