Large-N Expansion and Conformal Windows in Three Dimensions

Physics

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Scientific paper

I study a class of interacting conformal field theories and conformal windows in three dimensions, formulated using the Parisi large-N approach. Bosons are associated with composite operators and their propagators are dynamically generated by fermion bubbles. Renormalization-group flows between pairs of interacting fixed points satisfy a set of non-perturbative g ↔ 1/g dualities. An exact relation between the beta function and the anomalous dimension of the composite boson can be written.

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