Stability of the shell of D6-D2 branes in an [Formula Presented] supergravity solution

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Abstract

The stability of the shell of wrapped D6-branes on (Formula presented) is investigated from the point of view of supergravity. We first construct an effective energy-momentum tensor for the shell under reasonable conditions and show that supersymmetric solutions satisfy Israel’s junction conditions at an arbitrary radius of the shell. Next we study the perturbation of the whole system including the self-gravity of the shell. It is found that, in spite of the existence of wrapped D6-branes with negative tension, there is no eigenmode for which the frequencies of the shell and the fields are imaginary numbers, at any radius of the shell. Furthermore, when the radius of the shell is less than the enhançon radius, resonances are produced, and this indicates a kind of “instability” of the system. This can explain even classically why the shell is constructed at the enhançon radius.

Original languageEnglish
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume65
Issue number2
DOIs
Publication statusPublished - 2002 Dec 26
Externally publishedYes

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supergravity
radii
kinetic energy
tensors
gravitation
perturbation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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abstract = "The stability of the shell of wrapped D6-branes on (Formula presented) is investigated from the point of view of supergravity. We first construct an effective energy-momentum tensor for the shell under reasonable conditions and show that supersymmetric solutions satisfy Israel’s junction conditions at an arbitrary radius of the shell. Next we study the perturbation of the whole system including the self-gravity of the shell. It is found that, in spite of the existence of wrapped D6-branes with negative tension, there is no eigenmode for which the frequencies of the shell and the fields are imaginary numbers, at any radius of the shell. Furthermore, when the radius of the shell is less than the enhan{\cc}on radius, resonances are produced, and this indicates a kind of “instability” of the system. This can explain even classically why the shell is constructed at the enhan{\cc}on radius.",
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