Matrix models at large charge

Abstract

We show that the large-charge formalism can be successfully applied to models that go beyond the vector models discussed so far in the literature. We study the explicit example of a conformal $SU(3)$ matrix model in 2+1 space-time dimensions at fixed charge and calculate the anomalous dimension and fusion coefficients at leading order in the $U(1)$ charge.

31 pages, 1 figure

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Cited by in corpus (20)

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• Conformal Bootstrap At Large Charge
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• On the Large $R$-charge Expansion in $\mathcal{N}=2$ Superconformal Field Theories
• Selected Topics in the Large Quantum Number Expansion
• Large charge at large N
• Universal correlation functions in rank 1 SCFTs
• On the large R-charge $\mathcal{N}=2$ chiral correlators and the Toda equation
• Conformal dimensions in the large charge sectors at the O(4) Wilson-Fisher fixed point
• The large charge limit of scalar field theories and the Wilson-Fisher fixed point at $\epsilon =0$
• The large charge expansion at large N
• A safe CFT at large charge
• Charging the Conformal Window
• The large-charge expansion for Schrödinger systems
• Revisiting the AdS Boson Stars: the Mass-Charge Relations
• Superfluids, vortices and spinning charged operators in 4d CFT
• A matrix CFT at multiple large charges
• Large-Charge Limit of AdS Boson Stars with Mixed Boundary Conditions
• Chern-Simons-Matter Theories at Large Baryon Number
• Large charge operators at large spin from relativistically rotating vortices