The large charge expansion and AdS/CFT

Abstract

The scaling dimensions of charged operators in conformal field theory were recently computed in a large charge expansion. We verify this expansion in a dual AdS model. Specifically, we numerically construct solitonic boson star solutions of Einstein-Maxwell-Scalar theory in AdS${}_4$ and find that its mass at large charge reproduces the universal form of the lowest operator dimension in the large U(1) charge sector of the dual 2+1 dimensional CFT.

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Cited by in corpus (5)

• Transition of Large $R$-Charge Operators on a Conformal Manifold
• Revisiting the AdS Boson Stars: the Mass-Charge Relations
• Large-Charge Limit of AdS Boson Stars with Mixed Boundary Conditions
• Large charge operators at large spin from relativistically rotating vortices
• Semiclassics of three-dimensional SCFTs from holography