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arXiv 1807.09712hep-th
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用全息术制作超对称彩色超导体

A Supersymmetric Color Superconductor from Holography

Anton F. Faedo, David Mateos, Christiana Pantelidou, Javier Tarrio

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11 pages, 2 figures. v2: comments and references added, published text
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摘要：

我们用全息术研究了与$N_{\rm \tiny{F}} \ll N_{\rm \tiny{c}}$夸克味耦合的$d=4$，$\mathcal{N}=4$，SU（$N_{\rm \tiny{c}}$）超Yang-Mills。我们通过打开一个同位旋化学势$μ_{\rm \tiny{I}}=M_{\rm \tiny{q}}$，用$M_{\rm \tiny{q}}$表示夸克质量，将理论置于有限的同位旋密度$n_{\rm \tiny{I}}$。我们还打开了两个R对称电荷密度$n_1=n_2$。我们表明，基态是一个超对称的，超流体的，颜色超导体，即一个有限密度的状态，保持一部分的超对称性，其中部分的全球对称性和部分的规范对称性自发破缺。全息描述由$\mbox{AdS}_5 \times \mbox{S}^5$中的$N_{\rm \tiny{F}}$ D 7膜探针组成。对称性破缺是由于与同位旋电荷相关的电场触发了D 7-膜内部的一些D3-膜的溶解。无质量谱包含戈德斯通玻色子和它们的费米超伴子。如果是$n_{\rm \tiny{I}} \ll μ_{\rm \tiny{I}}^3$，那么大质量的光谱中就含有长寿命的介子准粒子，否则就没有准粒子。我们讨论的可能性，尽管存在的质量尺度和电荷密度的理论，共形和相对论不变性出现在红外对称性。

英文摘要：

We use holography to study $d=4$, $\mathcal{N}=4$, SU($N_{\rm \tiny{c}}$) super Yang-Mills coupled to $N_{\rm \tiny{F}} \ll N_{\rm \tiny{c}}$ quark flavors. We place the theory at finite isospin density $n_{\rm \tiny{I}}$ by turning on an isospin chemical potential $μ_{\rm \tiny{I}}=M_{\rm \tiny{q}}$, with $M_{\rm \tiny{q}}$ the quark mass. We also turn on two R-symmetry charge densities $n_1=n_2$. We show that the ground state is a supersymmetric, superfluid, color superconductor, namely a finite-density state that preserves a fraction of supersymmetry in which part of the global symmetries and part of the gauge symmetries are spontaneously broken. The holographic description consists of $N_{\rm \tiny{F}}$ D7-brane probes in $\mbox{AdS}_5 \times \mbox{S}^5$. The symmetry breaking is due to the dissolution of some D3-branes inside the D7-branes triggered by the electric field associated to the isospin charge. The massless spectrum contains Goldstone bosons and their fermionic superpartners. The massive spectrum contains long-lived, mesonic quasi-particles if $n_{\rm \tiny{I}} \ll μ_{\rm \tiny{I}}^3$, and no quasi-particles otherwise. We discuss the possibility that, despite the presence of mass scales and charge densities in the theory, conformal and relativistic invariance arise as emergent symmetries in the infrared.

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