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      Wall-crossing, Hitchin systems, and the WKB approximation

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      Advances in Mathematics
      Elsevier BV

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          The Self-Duality Equations on a Riemann Surface

          N. Hitchin (1987)
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            Is Open Access

            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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              Topological quantum field theory

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                Author and article information

                Journal
                Advances in Mathematics
                Advances in Mathematics
                Elsevier BV
                00018708
                February 2013
                February 2013
                : 234
                :
                : 239-403
                Article
                10.1016/j.aim.2012.09.027
                829e1119-7a12-4b7b-b442-754842d7bd96
                © 2013

                http://www.elsevier.com/tdm/userlicense/1.0/

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