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Matrix models at large charge

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arxiv 1707.00710 v1 pith:IY224IDR submitted 2017-07-03 hep-th

classification hep-th
keywords chargemodelsmatrixanomalousappliedbeyondcalculatecoefficients
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Extremal AdS Black Holes as Fluids: A Matrix Large-Charge EFT Approach

    hep-th 2025-07 conditional novelty 5.0 of 10

    Promoting the large-charge scalar to an N by N adjoint matrix gives a mean-field fluid whose stress tensor matches extremal AdS5 black holes, while its mode-counted entropy remains parametrically below the black hole entropy.

  2. Lectures on Semiclassical Methods for Composite Operators

    hep-th 2026-06 unverdicted novelty 3.0 of 10

    Lecture notes develop semiclassical methods to compute large-n scaling dimensions of composite operators in CFTs, recovering known results in free theory and deriving one-loop corrections at the Wilson-Fisher fixed point.

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