TY - JOUR

T1 - Generalized Neugebauer-Kramer transformations for non-linear sigma models

AU - Lee, S. C.

PY - 1985/12/5

Y1 - 1985/12/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=46549091124&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(85)90034-6

DO - 10.1016/0370-2693(85)90034-6

M3 - 期刊論文

AN - SCOPUS:46549091124

VL - 164

SP - 75

EP - 79

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-3

ER -