TY - JOUR

T1 - SL(4,R) generating symmetry in five-dimensional gravity coupled to dilaton and three-form

AU - Chen, Chiang Mei

AU - Gal'tsov, Dmitri V.

AU - Maeda, Kei Ichi

AU - Sharakin, Sergei A.

N1 - Funding Information:
One of the authors (DVG) would like to thank the Yukawa Institute for Theoretical Physics, Kyoto, where the part of this work was done. Fruitful discussions with T. Nakamura and M. Sasaki are gratefully acknowledged. The research was supported in part by the RFBR Grant 96–02–18899.

PY - 1999

Y1 - 1999

N2 - We give an explicit formulation of the three-dimensional SL(4,R)/SO(2,2) σ-model representing the five-dimensional Einstein gravity coupled to the dilaton and the three-form field for spacetimes with two commuting Killing vector fields. New matrix representation is obtained which is similar to one found earlier in the four-dimensional Einstein-Maxwell-Dilaton-Axion (EMDA) theory. The SL(4,R) symmetry joins a variety of 5D solutions of different physical types including strings, 0-branes, KK monopoles etc. interpreting them as duals to the four-dimensional Kerr metric translated along the fifth coordinate. The symmetry transformations are used to construct new rotating strings and composite (0-1)-branes endowed with a NUT parameter.

AB - We give an explicit formulation of the three-dimensional SL(4,R)/SO(2,2) σ-model representing the five-dimensional Einstein gravity coupled to the dilaton and the three-form field for spacetimes with two commuting Killing vector fields. New matrix representation is obtained which is similar to one found earlier in the four-dimensional Einstein-Maxwell-Dilaton-Axion (EMDA) theory. The SL(4,R) symmetry joins a variety of 5D solutions of different physical types including strings, 0-branes, KK monopoles etc. interpreting them as duals to the four-dimensional Kerr metric translated along the fifth coordinate. The symmetry transformations are used to construct new rotating strings and composite (0-1)-branes endowed with a NUT parameter.

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U2 - 10.1016/S0370-2693(99)00324-X

DO - 10.1016/S0370-2693(99)00324-X

M3 - Article

AN - SCOPUS:0002898296

SN - 0370-2693

VL - 453

SP - 7

EP - 16

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

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

IS - 1-2

ER -