Isometries of a D3-brane space

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

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/177992

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0311012
 http://arxiv.org/abs/hep-th/0311012
 Class.Quant.Grav.21:2427-2433,2004
 doi:10.1088/0264-9381/21/9/016

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arXiv