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

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.

Authors:
; ;  [1]
  1. Department of Physics, Keio University, Yokohama 223-8522 (Japan)
Publication Date:
OSTI Identifier:
21205203
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.77.125003; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DE SITTER GROUP; EQUATIONS OF MOTION; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; SO GROUPS; SPACE-TIME; STRING MODELS; SU GROUPS; SURFACES; SYMMETRY

Citation Formats

Koike, Tatsuhiko, Kozaki, Hiroshi, Ishihara, Hideki, Department of Applied Chemistry and Biotechnology, Niigata Institute of Technology, Kashiwazaki, Niigata 945-1195, and Department of Mathematics and Physics, Graduate School of Science, Osaka City University, Osaka 558-8585. Strings in five-dimensional anti-de Sitter space with a symmetry. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.77.125003.
Koike, Tatsuhiko, Kozaki, Hiroshi, Ishihara, Hideki, Department of Applied Chemistry and Biotechnology, Niigata Institute of Technology, Kashiwazaki, Niigata 945-1195, & Department of Mathematics and Physics, Graduate School of Science, Osaka City University, Osaka 558-8585. Strings in five-dimensional anti-de Sitter space with a symmetry. United States. https://doi.org/10.1103/PHYSREVD.77.125003
Koike, Tatsuhiko, Kozaki, Hiroshi, Ishihara, Hideki, Department of Applied Chemistry and Biotechnology, Niigata Institute of Technology, Kashiwazaki, Niigata 945-1195, and Department of Mathematics and Physics, Graduate School of Science, Osaka City University, Osaka 558-8585. 2008. "Strings in five-dimensional anti-de Sitter space with a symmetry". United States. https://doi.org/10.1103/PHYSREVD.77.125003.
@article{osti_21205203,
title = {Strings in five-dimensional anti-de Sitter space with a symmetry},
author = {Koike, Tatsuhiko and Kozaki, Hiroshi and Ishihara, Hideki and Department of Applied Chemistry and Biotechnology, Niigata Institute of Technology, Kashiwazaki, Niigata 945-1195 and Department of Mathematics and Physics, Graduate School of Science, Osaka City University, Osaka 558-8585},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.77.125003},
url = {https://www.osti.gov/biblio/21205203}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 77,
place = {United States},
year = {Sun Jun 15 00:00:00 EDT 2008},
month = {Sun Jun 15 00:00:00 EDT 2008}
}