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      The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit

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          Abstract

          The operator product expansion for ``small'' Wilson loops in {\cal N}=4, d=4 SYM is studied. The OPE coefficients are calculated in the large N and g_{YM}^2 N limit by exploiting the AdS/CFT correspondence. We also consider Wilson surfaces in the (0,2), d=6 superconformal theory. In this case, we find that the UV divergent terms include a term proportional to the rigid string action.

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          Wilson loops in large N field theories

          We propose a method to calculate the expectation values of an operator similar to the Wilson loop in the large N limit of field theories. We consider N=4 3+1 dimensional super-Yang-Mills. The prescription involves calculating the area of a fundamental string worldsheet in certain supergravity backgrounds. We also consider the case of coincident M-theory fivebranes where one is lead to calculating the area of M-theory two-branes. We briefly discuss the computation for 2+1 dimensional super-Yang-Mills with sixteen supercharges which is non-conformal. In all these cases we calculate the energy of quark-antiquark pair.
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            Positive energy in anti-de Sitter backgrounds and gauged extended supergravity

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              Mass spectrum of chiral ten-dimensionalN=2supergravity onS5

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                Author and article information

                Journal
                1998-09-25
                Article
                10.1103/PhysRevD.59.105023
                hep-th/9809188
                a3db2080-bb74-4d58-99dc-4972d0421523
                History
                Custom metadata
                UTTG-05-98, HUTP-98/A066
                Phys.Rev. D59 (1999) 105023
                22 pages LaTeX2e, using utarticle.cls (included) and AMS-LaTeX macros
                hep-th

                High energy & Particle physics
                High energy & Particle physics

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