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Isometries of a D3-brane space

Henrique Boschi-Filho, Nelson R. F. Braga

hep-tharXiv:hep-th/0311012

Abstract

We obtain the Killing equations and the corresponding infinitesimal isometries for the ten dimensional space generated by a large number of coincident D3-branes. In a convenient limit this space becomes an AdS5× S5 which is relevant for the AdS/CFT correspondence. In this case, using Poincare coordinates, we also write down the Killing equations and infinitesimal isometries. Then we obtain a simple realization of the isomorphism between AdS isometries and the boundary conformal group.

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