### 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 language | English |
---|---|

Article number | 024030 |

Journal | Physical Review D |

Volume | 65 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2002 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review D*,

*65*(2), [024030]. https://doi.org/10.1103/PhysRevD.65.024030

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

Research output: Contribution to journal › Article

*Physical Review D*, vol. 65, no. 2, 024030. https://doi.org/10.1103/PhysRevD.65.024030

}

TY - JOUR

T1 - Stability of the shell of D6-D2 branes in an N=2 supergravity solution

AU - Maeda, Kengo

AU - Torii, Takashi

AU - Narita, Makoto

AU - Yahikozawa, Shigeaki

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037080614&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037080614&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.65.024030

DO - 10.1103/PhysRevD.65.024030

M3 - Article

VL - 65

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 2

M1 - 024030

ER -