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

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arxiv 1504.00368 v2 pith:X52UWXDO submitted 2015-04-01 hep-th cond-mat.str-el

Ethan Dyer , Márk Mezei , Silviu S. Pufu , Subir Sachdev This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords dimensionsoperatorsmonopolemathbborderpointscalingtheory
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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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Cited by 2 Pith papers

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  1. Bootstrap Cone of the Multicritical Deconfined Quantum Critical Point

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Conformal bootstrap with a sparseness condition produces a cone whose apex matches QMC and fuzzy sphere data for the DQCP, supporting multicriticality via a relevant SO(5) singlet scalar.

  2. Bootstrapping the Simplest Deconfined Quantum Critical Point

    hep-th 2025-07 conditional novelty 6.0 of 10

    Conformal bootstrap bounds for U(1)-charged scalars in 3d are saturated by the CP^2 model's large-N and lattice predictions, suggesting the CP^2 deconfined quantum critical point is a conformal field theory.

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