Bootstrapping the O ( N ) Vector Models

Abstract

We study the conformal bootstrap for 3D CFTs with O(N) global symmetry. We obtain rigorous upper bounds on the scaling dimensions of the first O(N) singlet and symmetric tensor operators appearing in the φi × φj OPE, where φi is a fundamental of O(N). Comparing these bounds to previous determinations of critical exponents in the O(N) vector models, we find… (More)

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