Strings in five-dimensional anti-de Sitter space with a symmetry

Tatsuhiko Koike, Hiroshi Kozaki, Hideki Ishihara

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The equation of motion of an extended object in spacetime reduces to an ordinary differential equation in the presence of symmetry. By properly defining the symmetry with the notion of cohomogeneity, we discuss the method for classifying all these extended objects. We carry out the classification for the strings in the five-dimensional anti-de Sitter space by the effective use of the local isomorphism between SO(4,2) and SU(2,2). In the case where the string is described by the Nambu-Goto action, we present a general method for solving the trajectory. We then apply the method to one of the classification cases, where the spacetime naturally obtains a Hopf-like bundle structure, and find a solution. The geometry of the solution is analyzed and found to be a timelike, helicoidlike surface.

Original languageEnglish
Article number125003
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume77
Issue number12
DOIs
Publication statusPublished - 2008 Jun 2

Fingerprint

Anti-de Sitter Space
strings
Strings
Symmetry
isomorphism
symmetry
classifying
Space-time
bundles
equations of motion
differential equations
trajectories
Equations of Motion
Bundle
Isomorphism
Ordinary differential equation
geometry
Trajectory
Object

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Strings in five-dimensional anti-de Sitter space with a symmetry. / Koike, Tatsuhiko; Kozaki, Hiroshi; Ishihara, Hideki.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 77, No. 12, 125003, 02.06.2008.

Research output: Contribution to journalArticle

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