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arXiv · 1504.00368

Scaling dimensions of monopole operators in the $\mathbb{CP}^{N_b - 1}$ theory in $2+1$ dimensions

Ethan Dyer·Márk Mezei·Silviu S. Pufu·Subir Sachdev
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Abstract

We study monopole operators at the conformal critical point of the $\mathbb{CP}^{N_b - 1}$ theory in $2+1$ spacetime dimensions. Using the state-operator correspondence and a saddle point approximation, we compute the scaling dimensions of these operators to next-to-leading order in $1/N_b$. We find remarkable agreement between our results and 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.

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Ethan Dyer, Márk Mezei, Silviu S. Pufu, Subir Sachdev. 2016-02-29. Scaling dimensions of monopole operators in the $\mathbb{CP}^{N_b - 1}$ theory in $2+1$ dimensions. https://doi.org/10.1007/jhep06(2015)037%2C%2010.1007%2Fjhep03(2016)111

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