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Dynamics of supertubes

Stefano Giusto, Samir D. Mathur, Yogesh K. Srivastava

Abstract

We find the evolution of arbitrary excitations on 2-charge supertubes, by mapping the supertube to a string carrying traveling waves. We argue that when the coupling is increased from zero the energy of excitation leaks off to infinity, and when the coupling is increased still further a new set of long lived excitations emerge. We relate the excitations at small and large couplings to excitations in two different phases in the dual CFT. We conjecture a way to distinguish bound states from unbound states among 3-charge BPS geometries; this would identify black hole microstates among the complete set of BPS geometries.

Dynamics of supertubes

Abstract

We find the evolution of arbitrary excitations on 2-charge supertubes, by mapping the supertube to a string carrying traveling waves. We argue that when the coupling is increased from zero the energy of excitation leaks off to infinity, and when the coupling is increased still further a new set of long lived excitations emerge. We relate the excitations at small and large couplings to excitations in two different phases in the dual CFT. We conjecture a way to distinguish bound states from unbound states among 3-charge BPS geometries; this would identify black hole microstates among the complete set of BPS geometries.

Paper Structure

This paper contains 29 sections, 243 equations, 3 figures.

Table of Contents

  1. Introduction
  2. Possibilities for low energy dynamics
  3. Results and conjectures
  4. The NS1-P bound state in flat space
  5. The classical string solution
  6. The linearized perturbation
  7. Summary
  8. Perturbations of the D0-NS1 supertube
  9. Using the NS1-P solution: Linear perturbation
  10. Period of oscillation
  11. Using the NS1-P solution: Exact dynamics
  12. 'Quasi-oscillations'
  13. Summary
  14. The thin tube limit of the gravity solution
  15. Solution in the 'infinite wavelength limit'
  16. ...and 14 more sections

Figures (3)

  • Figure 1: (a) The NS1 carrying a transverse oscillation profile in the covering space of $S^1$. (b) The strands of the NS1 as they appear in the actual space.
  • Figure 2: (a) The supertube at $g\rightarrow 0$, described by a worldsheet action. (b) The 'thin tube' at weak coupling. (c) The 'thick tube' reached at larger coupling. (d) At still larger coupling we get a 'deep throat' geometry; the strands of the NS1 generating the geometry run along the dotted curve.
  • Figure 3: A short segment of the NS1 moving at the speed of light in the $y$ direction. This yields a velocity $v$ for the segment in the direction perpendicular to itself.