Stability of the shell of D6-D2 branes in an N=2 supergravity solution

Kengo Maeda, Takashi Torii, Makoto Narita, Shigeaki Yahikozawa

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The stability of the shell of wrapped D6-branes on K3 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
Article number024030
JournalPhysical Review D
Volume65
Issue number2
DOIs
Publication statusPublished - 2002
Externally publishedYes

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supergravity
radii
Israel
kinetic energy
tensors
gravitation
perturbation

ASJC Scopus subject areas

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

Cite this

Stability of the shell of D6-D2 branes in an N=2 supergravity solution. / Maeda, Kengo; Torii, Takashi; Narita, Makoto; Yahikozawa, Shigeaki.

In: Physical Review D, Vol. 65, No. 2, 024030, 2002.

Research output: Contribution to journalArticle

Maeda, Kengo ; Torii, Takashi ; Narita, Makoto ; Yahikozawa, Shigeaki. / Stability of the shell of D6-D2 branes in an N=2 supergravity solution. In: Physical Review D. 2002 ; Vol. 65, No. 2.
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