YM on the dielectric brane: a D0-brane tale

Details YM on the dielectric brane: a D0-brane tale YM on the dielectric brane: a D0-brane tale

2002-12-16

arxiv.org/abs/hep-th/0212183v2

Nucl.Phys. B666 (2003) 230-242

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1016/S0550-3213(03)00496-6

In this letter we present a derivation, from the D0-brane picture, of the background monopole field and in general of the full dynamics of the Yang-Mills theory on the dielectric D2-brane of Myers. To do this we study the large N limit of the fuzzy sphere relevant to the dielectric solution. In contrast to the usual interpretation, where the commutative D2-brane picture arises directly from the large N limit of the D0-brane picture, we find that a residual non-commutativity must be preserved, in order to make the connection by means of the Seiberg-Witten map.

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