Generalized Neugebauer-Kramer transformations for non-linear sigma models

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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 I1 transformation of Neugebauer. We argue that the discrete symmetries are in fact symmetries for any generalized non-linear sigma models.

Original languageEnglish
Pages (from-to)75-79
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume164
Issue number1-3
DOIs
StatePublished - 5 Dec 1985

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