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

Z. Guralnik·S. Ramgoolam
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Abstract

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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Z. Guralnik, S. Ramgoolam. 2000-12-30. On the Polarization of Unstable D0-Branes into Non-Commutative Odd Spheres. https://doi.org/10.1088/1126-6708%2F2001%2F02%2F032

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