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

Chiang Mei Chen; Dmitri V. Gal'tsov; Kei Ichi Maeda; Sergei A. Sharakin

doi:10.1016/S0370-2693(99)00324-X

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

Chiang Mei Chen, Dmitri V. Gal'tsov, Kei Ichi Maeda, Sergei A. Sharakin

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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
DOIs	https://doi.org/10.1016/S0370-2693(99)00324-X
State	Published - 1999

Access to Document

10.1016/S0370-2693(99)00324-X

Cite this

@article{a79131c5f9bd49e5b6ea4f16e9162b4a,

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

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.",

author = "Chen, {Chiang Mei} and Gal'tsov, {Dmitri V.} and Maeda, {Kei Ichi} and Sharakin, {Sergei A.}",

note = "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. ",

year = "1999",

doi = "10.1016/S0370-2693(99)00324-X",

language = "???core.languages.en_GB???",

volume = "453",

pages = "7--16",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

number = "1-2",

}

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.

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

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

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

M3 - 期刊論文

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 -

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

Abstract

Access to Document

Fingerprint

Cite this