Worldsheet Analysis of Gauge/Gravity Dualities

Details Worldsheet Analysis of Gauge/Gravity Dualities Worldsheet Analysis of Gauge/Gravity Dualities

2008-12-08

arxiv.org/abs/0812.1453v2

Nucl.Phys.B816:278-292,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 8 figures

Scientific paper

10.1016/j.nuclphysb.2009.03.012

Gauge/gravity dualities are investigated from the worldsheet point of view. In [arXiv:0706.1163] and [arXiv:0708.2463], a duality between 4d SYM and supergravity on AdS_5xS^5 has been partly explained by using an anisotropic scale invariance of worldsheet theory. In this paper, we refine the argument and generalize it to lower dimensional cases. We show the correspondence between the Wilson loops in (p+1)-d SYM and the minimal surface in the black p-brane background. Although the scale invariance does not exist in these cases, the generalized scale transformation can be utilized. We also find that the energy density of open strings can be related to the ADM mass of the p-brane without relying on this symmetry.

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