Cohomogeneity-one-string integrability of spacetimes

Yoshiyuki Morisawa, Soichi Hasegawa, Tatsuhiko Koike, Hideki Ishihara

Research output: Contribution to journalArticle

Abstract

A classical string whose world sheet shares a one-dimensional symmetry with the spacetime is called cohomogeneity-one (C1). We propose C1-string integrability, i.e. integrability of all C1 strings in the spacetime, as a class of hidden symmetry of a spacetime. The C1 string may probe symmetry which is not probed by a particle. We present a simple, systematic procedure for finding constants of motion of a C1 string and examining C1 string integrability of a spacetime. We apply the framework to some physically important spacetimes such as AdS5, AdS5 × S5, and AdS5 × Tp,q. C1 strings and C1-string integrability may be useful for a prior examination of general string integrability of a highly symmetric spacetime since, among the examples above, all C1 string integrable spacetimes are string-integrable, and the previously obtained chaotic string solutions in those or other spacetimes are of class C1.

Original languageEnglish
Article number155009
JournalClassical and Quantum Gravity
Volume36
Issue number15
DOIs
Publication statusPublished - 2019 Jul 17

Fingerprint

strings
symmetry
examination
probes

Keywords

  • Hamiltonian system
  • hidden symmetry
  • pacetime symmetry

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Cohomogeneity-one-string integrability of spacetimes. / Morisawa, Yoshiyuki; Hasegawa, Soichi; Koike, Tatsuhiko; Ishihara, Hideki.

In: Classical and Quantum Gravity, Vol. 36, No. 15, 155009, 17.07.2019.

Research output: Contribution to journalArticle

Morisawa, Yoshiyuki ; Hasegawa, Soichi ; Koike, Tatsuhiko ; Ishihara, Hideki. / Cohomogeneity-one-string integrability of spacetimes. In: Classical and Quantum Gravity. 2019 ; Vol. 36, No. 15.
@article{00828bf1a46f4518a06de027a3e9e809,
title = "Cohomogeneity-one-string integrability of spacetimes",
abstract = "A classical string whose world sheet shares a one-dimensional symmetry with the spacetime is called cohomogeneity-one (C1). We propose C1-string integrability, i.e. integrability of all C1 strings in the spacetime, as a class of hidden symmetry of a spacetime. The C1 string may probe symmetry which is not probed by a particle. We present a simple, systematic procedure for finding constants of motion of a C1 string and examining C1 string integrability of a spacetime. We apply the framework to some physically important spacetimes such as AdS5, AdS5 × S5, and AdS5 × Tp,q. C1 strings and C1-string integrability may be useful for a prior examination of general string integrability of a highly symmetric spacetime since, among the examples above, all C1 string integrable spacetimes are string-integrable, and the previously obtained chaotic string solutions in those or other spacetimes are of class C1.",
keywords = "Hamiltonian system, hidden symmetry, pacetime symmetry",
author = "Yoshiyuki Morisawa and Soichi Hasegawa and Tatsuhiko Koike and Hideki Ishihara",
year = "2019",
month = "7",
day = "17",
doi = "10.1088/1361-6382/ab2e28",
language = "English",
volume = "36",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing Ltd.",
number = "15",

}

TY - JOUR

T1 - Cohomogeneity-one-string integrability of spacetimes

AU - Morisawa, Yoshiyuki

AU - Hasegawa, Soichi

AU - Koike, Tatsuhiko

AU - Ishihara, Hideki

PY - 2019/7/17

Y1 - 2019/7/17

N2 - A classical string whose world sheet shares a one-dimensional symmetry with the spacetime is called cohomogeneity-one (C1). We propose C1-string integrability, i.e. integrability of all C1 strings in the spacetime, as a class of hidden symmetry of a spacetime. The C1 string may probe symmetry which is not probed by a particle. We present a simple, systematic procedure for finding constants of motion of a C1 string and examining C1 string integrability of a spacetime. We apply the framework to some physically important spacetimes such as AdS5, AdS5 × S5, and AdS5 × Tp,q. C1 strings and C1-string integrability may be useful for a prior examination of general string integrability of a highly symmetric spacetime since, among the examples above, all C1 string integrable spacetimes are string-integrable, and the previously obtained chaotic string solutions in those or other spacetimes are of class C1.

AB - A classical string whose world sheet shares a one-dimensional symmetry with the spacetime is called cohomogeneity-one (C1). We propose C1-string integrability, i.e. integrability of all C1 strings in the spacetime, as a class of hidden symmetry of a spacetime. The C1 string may probe symmetry which is not probed by a particle. We present a simple, systematic procedure for finding constants of motion of a C1 string and examining C1 string integrability of a spacetime. We apply the framework to some physically important spacetimes such as AdS5, AdS5 × S5, and AdS5 × Tp,q. C1 strings and C1-string integrability may be useful for a prior examination of general string integrability of a highly symmetric spacetime since, among the examples above, all C1 string integrable spacetimes are string-integrable, and the previously obtained chaotic string solutions in those or other spacetimes are of class C1.

KW - Hamiltonian system

KW - hidden symmetry

KW - pacetime symmetry

UR - http://www.scopus.com/inward/record.url?scp=85070301892&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85070301892&partnerID=8YFLogxK

U2 - 10.1088/1361-6382/ab2e28

DO - 10.1088/1361-6382/ab2e28

M3 - Article

AN - SCOPUS:85070301892

VL - 36

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 15

M1 - 155009

ER -