We examine models of fermions with infinite-range interactions that realize non-Fermi liquids with a continuously variable U(1) charge density Q and a nonzero entropy density S at vanishing temperature. Real-time correlators of operators carrying U(1) charge q at a low temperature T are characterized by a Q -dependent frequency ω S = ( q T / ? ) ( ? S / ? Q ) , which determines a spectral asymmetry. We show that the correlators match precisely with those of the two-dimensional anti–de Sitter ( AdS 2 ) horizons of extremal charged black holes. On the black hole side, the matching employs S as the Bekenstein-Hawking entropy density and the laws of black hole thermodynamics that relate ( ? S / ? Q ) / ( 2 π ) to the electric field strength in AdS 2 . The fermion model entropy is computed using the microscopic degrees of freedom of a UV complete theory without supersymmetry.
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机译:我们检查具有无限范围相互作用的离子晶片模型,该相互作用在消失温度下实现具有连续变量U(1)电荷密度Q和非零熵密度S的非FERMI液体。携带U(1)电荷Q在低温T处的操作员的实时相关器的特征在于Q-依存频率ωs=(q t /Δ)(Δs/Δq),其决定了光谱不对称性。我们表明,相关器精确地匹配了极端带电黑洞的二维抗DE设值(ADS 2)视野的那些。在黑洞侧,匹配采用S作为Bekenstein-Hapking熵密度和黑洞热力学的规律,其与ADS 2中的电场强度相关联(ΔS/β)/(2π)。使用UV完全理论的微观自由度来计算FERMION模型熵,而没有超对称。
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