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Minimizing gauge-functional for 2-d gravity and string theory

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arxiv 1207.5210 v1 pith:IXKNYGNE submitted 2012-07-22 hep-th

classification hep-th
keywords minimizingstringprocedurechoiceconstructioncontributesdemystifiesdomain
verification ladder T0 review T1 audit T2 compute T3 formal

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We show the existence of a minimizing procedure for selecting a unique representative on the orbit of any given Riemann surface that contributes to the string partition function. As it must, the procedure reduces the string path integral to a final integration over a particular fundamental domain, selected by the choice of the minimizing functional. This construction somehow demystifies the Gribov question.

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