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Worldsheet properties of extremal correlators in AdS/CFT

David, Justin R and Gopakumar, Rajesh and Mukhopadhyay, Ayan (2008) Worldsheet properties of extremal correlators in AdS/CFT. In: Journal of High Energy Physics (10). 029-11-029-.

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Official URL: http://www.iop.org/EJ/abstract/1126-6708/2008/10/0...

Abstract

We continue to investigate planar four point worldsheet correlators of string theories which are conjectured to be duals of free gauge theories. We focus on the extremal correlators langleTr(ZJ1(x))Tr(ZJ2(y))Tr(ZJ3(z))Tr(bar ZJ(0)))rangle of Script N = 4 SYM theory, and construct the corresponding worldsheet correlators in the limit when the Ji >> 1. The worldsheet correlator gets contributions, in this limit, from a whole family of Feynman graphs. We find that it is supported on a curve in the moduli space parametrized by the worldsheet crossratio. In a further limit of the spacetime correlators we find this curve to be the unit circle. In this case, we also check that the entire worldsheet correlator displays the appropriate crossing symmetry. The non-renormalization of the extremal correlators in the 't Hooft coupling offers a potential window for a comparison of these results with those from strong coupling.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Institute of Physics.
Keywords: AdS-CFT Correspondence;1/N Expansion.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 06 Nov 2009 03:50
Last Modified: 19 Sep 2010 04:57
URI: http://eprints.iisc.ernet.in/id/eprint/17564

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