Generalized NeugebauerKramer transformations for nonlinear sigma models
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 NeugebauerKramer 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 nonlinear sigma models.
 Publication:

Physics Letters B
 Pub Date:
 December 1985
 DOI:
 10.1016/03702693(85)900346
 Bibcode:
 1985PhLB..164...75L