### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 7-16 |

Number of pages | 10 |

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

Volume | 453 |

Issue number | 1-2 |

Publication status | Published - 1999 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

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

*453*(1-2), 7-16.

**SL(4,R) generating symmetry in five-dimensional gravity coupled to dilaton and three-form.** / Chen, Chiang Mei; Gal'tsov, Dmitri V.; Maeda, Keiichi; Sharakin, Sergei A.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 453, no. 1-2, pp. 7-16.

}

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, Keiichi

AU - Sharakin, Sergei A.

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.

UR - http://www.scopus.com/inward/record.url?scp=0002898296&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002898296&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0002898296

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

SN - 0370-2693

IS - 1-2

ER -