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Journal of High Energy Physics

, 2019:106 | Cite as

Stability analysis of classical string solutions and the dressing method

  • Dimitrios Katsinis
  • Ioannis Mitsoulas
  • Georgios PastrasEmail author
Open Access
Regular Article - Theoretical Physics
  • 19 Downloads

Abstract

The dressing method is a technique to construct new solutions in non-linear sigma models under the provision of a seed solution. This is analogous to the use of autoBäcklund transformations for systems of the sine-Gordon type. In a recent work, this method was applied to the sigma model that describes string propagation on ℝ × S2, using as seeds the elliptic string solutions. Some of the new solutions that emerge reveal instabilities of their elliptic precursors [1]. The focus of the present work is the fruitful use of the dressing method in the study of the stability of closed string solutions. It establishes an equivalence between the dressing method and the conventional linear stability analysis. More importantly, this equivalence holds true in the presence of appropriate periodicity conditions that closed strings must obey. Our investigations point to the direction of the dressing method being a general tool for the study of the stability of classical string configurations in the diverse class of symmetric spacetimes.

Keywords

Bosonic Strings Long strings 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Dimitrios Katsinis
    • 1
    • 2
  • Ioannis Mitsoulas
    • 2
    • 1
  • Georgios Pastras
    • 2
    Email author
  1. 1.Department of Physics, School of Applied Mathematics and Physical SciencesNational Technical UniversityAthensGreece
  2. 2.NCSR “Demokritos”, Institute of Nuclear and Particle PhysicsAghia ParaskeviGreece

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