From free fields to AdS. III

Gopakumar, Rajesh (2005) From free fields to AdS. III Physical Review D, 72 (6). 066008_1-066008_14. ISSN 0556-2821

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In previous work, we have shown that large N field theory amplitudes, in Schwinger parametrized form, can be organized into integrals over the stringy moduli space Mg,n×R+n. Here we flesh this out into a concrete implementation of open-closed string duality. In particular, we propose that the closed string world sheet is reconstructed from the unique Strebel quadratic differential that can be associated to (the dual of) a field theory skeleton graph. We are led, in the process, to identify the inverse Schwinger proper times (σi=1/τi) with the lengths of edges of the critical graph of the Strebel differential. Kontsevich's matrix model derivation of the intersection numbers in moduli space provides a concrete example of this identification. It also exhibits how closed string correlators emerge very naturally from the Schwinger parameter integrals. Finally, to illustrate the utility of our approach to open-closed string duality, we outline a method by which a world sheet operator product expansion can be directly extracted from the field theory expressions. Limits of the Strebel differential for the four punctured sphere play a key role.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:22491
Deposited On:24 Nov 2010 08:30
Last Modified:24 Nov 2010 08:30

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