The large charge expansion at large N

Anton de la Fuente

The large charge expansion at large N

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arxiv 1805.00501 v1 pith:R32MKEBK submitted 2018-05-01 hep-th cond-mat.str-el

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keywords largebehaviorchargedimensionsexpansionoperatorspredictedscaling

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The scaling dimensions of charged operators in conformal field theory have recently been predicted to exhibit universal behavior in the large charge limit. We verify this behavior in the 2+1 dimensional CPN model. Specifically, we numerically compute the scaling dimensions of the lowest dimension monopole operators with charges Q = 1, 2, ... , 100 to subleading order in large N. The coefficients of the large Q expansion are extracted through a fit, and the predicted universal O(1) contribution is verified to the subpercent level.

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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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