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Scaling dimensions of monopole operators in the CPNb-1 theory in 2+1 dimensions

Author(s): Dyer, Ethan; Mezei, Mark; Pufu, Silviu S; Sachdev, Subir

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Abstract: We study monopole operators at the conformal critical point of the CPNb-1 theory in 2+1 spacetime dimensions. Using the state-operator correspondence and a saddle point approximation, we compute the scaling dimensions of the operators that insert one or two units of magnetic flux to next-to-leading order in 1/N-b. We compare our results to numerical studies of quantum antiferromagnets on two-dimensional lattices with SU(N-b) global symmetry, using the mapping of the monopole operators to valence bond solid order parameters of the lattice antiferromagnet. For the monopole operators that insert three or more units of magnetic flux, we find that the rotationally-symmetric saddle point is unstable; in order to obtain the scaling dimensions of these operators, even at leading order in 1/N-b, one should consider non-spherically-symmetric saddles.
Publication Date: Jun-2015
Electronic Publication Date: 5-Jun-2015
Citation: Dyer, Ethan, Mezei, Mark, Pufu, Silviu S, Sachdev, Subir. (2015). Scaling dimensions of monopole operators in the CPNb-1 theory in 2+1 dimensions. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP06(2015)037
DOI: doi:10.1007/JHEP06(2015)037
ISSN: 1029-8479
Type of Material: Journal Article
Version: Final published version. This is an open access article.

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