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The effective conformal field theory governing the long-distance dynamics of string solitions in four dimensions, such as the Nielsen-Olesen vortex or QCD strings, is described. It is an interacting Poincar\'e-invariant conformal field theory with four bosons and c=26. The compatibility of these naively contradictory features is explicitly demonstrated through second order in a perturbation expansion about the long-string vacuum.
Polchinski et al. (Mon,) studied this question.
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