论文标题
变形IR：四维全息理论的新IR固定点
A deformed IR: a new IR fixed point for four-dimensional holographic theories
论文作者
论文摘要
在全息图中，非零密度下的量子系统的IR行为是通过极端带电的黑洞的近地平线几何形状来描述的。通常认为，对于$ s^3 $的系统，这种近地平线几何形状为$ ads_2 \ times s^3 $。我们表明情况并非如此：$ ads_2 \ times s^3 $在地平线上爆炸的通用静态，非球形扰动，表明它不是稳定的IR固定点。然后，我们构建了一个新的近地平线几何形状，该几何形状仅在$ so（3）$（而不是$ SO（4）$）对称性下是不变的，并表明它稳定在$ so（3）$ - 保留扰动（但通常不是）。我们还表明，一组开放式的非Xtremal，$ SO（3）$ - 不变的电荷黑洞在极限$ t \至0 $的情况下开发了这种新的近地平线几何形状。我们的新IR几何形状仍然具有$ ADS_2 $对称性，但它在变形的球体上扭曲。我们还构建了许多其他近地平线几何形状，其中包括一些没有旋转对称性的，但期望它们都是不稳定的IR固定点。
In holography, the IR behavior of a quantum system at nonzero density is described by the near horizon geometry of an extremal charged black hole. It is commonly believed that for systems on $S^3$, this near horizon geometry is $AdS_2\times S^3 $. We show that this is not the case: generic static, nonspherical perturbations of $AdS_2\times S^3 $ blow up at the horizon, showing that it is not a stable IR fixed point. We then construct a new near horizon geometry which is invariant under only $SO(3)$ (and not $SO(4)$) symmetry and show that it is stable to $SO(3)$-preserving perturbations (but not in general). We also show that an open set of nonextremal, $SO(3)$-invariant charged black holes develop this new near horizon geometry in the limit $T \to 0$. Our new IR geometry still has $AdS_2$ symmetry, but it is warped over a deformed sphere. We also construct many other near horizon geometries, including some with no rotational symmetries, but expect them all to be unstable IR fixed points.
