English

Isometries of a D3-brane space

High Energy Physics - Theory 2008-11-26 v2

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×S5AdS_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 AdSAdS isometries and the boundary conformal group.

Keywords

Cite

@article{arxiv.hep-th/0311012,
  title  = {Isometries of a D3-brane space},
  author = {Henrique Boschi-Filho and Nelson R. F. Braga},
  journal= {arXiv preprint arXiv:hep-th/0311012},
  year   = {2008}
}

Comments

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