Integrability of strings with a symmetry in the minkowski spacetime

Hiroshi Kozaki, Tatsuhiko Koike, Hideki Ishihara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We investigate the integrability of Nambu-Goto strings with a cohomogeneity-one symmetry in the Minkowski spacetime. By virtue of the symmetry, the equations of motion reduce to the geodesic equations in a three dimensional orbit space. The orbit space inherits the Killing vectors from the Minkowski spacetime, which help us to integrate the geodesic equations. The cohomogeneity-one strings are fallen into seven families (Type I ∼ VII) in the Minkowski spacetime. We find that the strings of Type I ∼ VI are integrable due to the existence of two or more inherited Killing vectors. We also find that the strings of Type VII are integrable due to the existence of an inherited Killing vector and a Killing tensor.

Original languageEnglish
Title of host publicationProceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008
Publication statusPublished - 2008
Event18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008 - Higashi-Hiroshima, Japan
Duration: 2008 Nov 172008 Nov 21

Other

Other18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008
CountryJapan
CityHigashi-Hiroshima
Period08/11/1708/11/21

Fingerprint

strings
symmetry
orbits
equations of motion
tensors

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Kozaki, H., Koike, T., & Ishihara, H. (2008). Integrability of strings with a symmetry in the minkowski spacetime. In Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008

Integrability of strings with a symmetry in the minkowski spacetime. / Kozaki, Hiroshi; Koike, Tatsuhiko; Ishihara, Hideki.

Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008. 2008.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kozaki, H, Koike, T & Ishihara, H 2008, Integrability of strings with a symmetry in the minkowski spacetime. in Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008. 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008, Higashi-Hiroshima, Japan, 08/11/17.
Kozaki H, Koike T, Ishihara H. Integrability of strings with a symmetry in the minkowski spacetime. In Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008. 2008
Kozaki, Hiroshi ; Koike, Tatsuhiko ; Ishihara, Hideki. / Integrability of strings with a symmetry in the minkowski spacetime. Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008. 2008.
@inproceedings{3193be546cdc446b8e5d1eeb63299efa,
title = "Integrability of strings with a symmetry in the minkowski spacetime",
abstract = "We investigate the integrability of Nambu-Goto strings with a cohomogeneity-one symmetry in the Minkowski spacetime. By virtue of the symmetry, the equations of motion reduce to the geodesic equations in a three dimensional orbit space. The orbit space inherits the Killing vectors from the Minkowski spacetime, which help us to integrate the geodesic equations. The cohomogeneity-one strings are fallen into seven families (Type I ∼ VII) in the Minkowski spacetime. We find that the strings of Type I ∼ VI are integrable due to the existence of two or more inherited Killing vectors. We also find that the strings of Type VII are integrable due to the existence of an inherited Killing vector and a Killing tensor.",
author = "Hiroshi Kozaki and Tatsuhiko Koike and Hideki Ishihara",
year = "2008",
language = "English",
booktitle = "Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008",

}

TY - GEN

T1 - Integrability of strings with a symmetry in the minkowski spacetime

AU - Kozaki, Hiroshi

AU - Koike, Tatsuhiko

AU - Ishihara, Hideki

PY - 2008

Y1 - 2008

N2 - We investigate the integrability of Nambu-Goto strings with a cohomogeneity-one symmetry in the Minkowski spacetime. By virtue of the symmetry, the equations of motion reduce to the geodesic equations in a three dimensional orbit space. The orbit space inherits the Killing vectors from the Minkowski spacetime, which help us to integrate the geodesic equations. The cohomogeneity-one strings are fallen into seven families (Type I ∼ VII) in the Minkowski spacetime. We find that the strings of Type I ∼ VI are integrable due to the existence of two or more inherited Killing vectors. We also find that the strings of Type VII are integrable due to the existence of an inherited Killing vector and a Killing tensor.

AB - We investigate the integrability of Nambu-Goto strings with a cohomogeneity-one symmetry in the Minkowski spacetime. By virtue of the symmetry, the equations of motion reduce to the geodesic equations in a three dimensional orbit space. The orbit space inherits the Killing vectors from the Minkowski spacetime, which help us to integrate the geodesic equations. The cohomogeneity-one strings are fallen into seven families (Type I ∼ VII) in the Minkowski spacetime. We find that the strings of Type I ∼ VI are integrable due to the existence of two or more inherited Killing vectors. We also find that the strings of Type VII are integrable due to the existence of an inherited Killing vector and a Killing tensor.

UR - http://www.scopus.com/inward/record.url?scp=84888195856&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84888195856&partnerID=8YFLogxK

M3 - Conference contribution

BT - Proceedings of the 18th Workshop on General Relativity and Gravitation in Japan, JGRG 2008

ER -