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Query: faculty: "FNWI" and publication year: "2004"

AuthorsJ. de Boer, E. Gimon, K.E. Schalm, J.S. Wijnhout
TitleEvidence for a gravitational Myers effect
JournalAnnals of Physics
Volume313
Year2004
Issue2
Pages402-424
ISSN00034916
FacultyFaculty of Science
Institute/dept.FNWI: Institute for Theoretical Physics (ITF)
KeywordsMyers effect; Non-abelian D0-brane bound states; Non-linear sigma models
AbstractAn indication for the existence of a collective Myers solution in the non-abelian D0-brane Born-Infeld action is the presence of a tachyonic mode in fluctuations around the standard diagonal background. We show that this computation for non-abelian D0-branes in curved space has the geometric interpretation of computing the eigenvalues of the geodesic deviation operator for U(N)-valued coordinates. On general grounds one therefore expects a geometric Myers effect in regions of sufficiently negative curvature. We confirm this by explicit computations for non-abelian D0-branes on a sphere and a hyperboloid. For the former the diagonal solution is stable, but not so for the latter. We conclude by showing that near a Schwarzschild black hole one also finds a tachyonic mode in the fluctuation spectrum, signaling the possibility of a near-black-hole gravitationally induced Myers effect.
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