Isometries of a D3-brane space

Details Isometries of a D3-brane space Isometries of a D3-brane space

2003-11-03

arxiv.org/abs/hep-th/0311012v2

Class.Quant.Grav.21:2427-2433,2004

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures. Version 2: we now present more details on the solution of the Killing equations

Scientific paper

10.1088/0264-9381/21/9/016

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 $AdS_5\times S^5$ 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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