On the Polarization of Unstable D0-Branes into Non-Commutative Odd Spheres

Details On the Polarization of Unstable D0-Branes into Non-Commutative Odd Spheres On the Polarization of Unstable D0-Branes into Non-Commutative Odd Spheres

2000-12-30

arxiv.org/abs/hep-th/0101001v1

JHEP 0102:032,2001

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, Tex

Scientific paper

10.1088/1126-6708/2001/02/032

We consider the polarization of unstable type IIB D0-branes in the presence of a background five-form field strength. This phenomenon is studied from the point of view of the leading terms in the non-abelian Born Infeld action of the unstable D0-branes. The equations have SO(4) invariant solutions describing a non-commutative 3-sphere, which becomes a classical 3-sphere in the large N limit. We discuss the interpretation of these solutions as spherical D3-branes. The tachyon plays a tantalizingly geometrical role in relating the fuzzy S^3 geometry to that of a fuzzy S^4.

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