论文标题
WADS/CFT和更高曲率重力的临界点
Critical points of WAdS/CFT and higher-curvature gravity
论文作者
论文摘要
WADS/WCFT对应是非ADS全息图的有趣实现。它将3维扭曲的安特·丹特（WADS $ _3 $）的空间与特殊类别的二维量子场理论相关联，其手性缩放对称性仅在右移动模式下。后者通常被称为扭曲的保形场理论（WCFT $ _2 $），它们的存在使WADS/WCFT特别有趣，作为研究新型二维形式结构结构的工具。此外，WADS/WCFT很有趣，因为它可以将全息技术应用于非ADS，非superymmetric Black Holes的微晶计数问题。渐近涉水$ _3 $黑洞（WBH $ _3 $）作为拓扑理论，Chern-Simons理论和许多其他模型的解决方案出现。在这里，我们探索WBH $ _3 \ timesσ_{d-3} $解决方案的$ D $ - 维度高效果重力，其中$σ_{d-3} $是不同的内部流形，通常由双重性空间的产物给出，尽管我们还考虑了具有时间依赖于时间依赖性的Wared产品的变形产品。这些几何形状是参数空间的特殊（临界）点上二阶高壮天理论的解决方案，该理论表现出一种堕落。我们认为，这些点的双重（W）CFT实际上是微不足道的。在许多方面，这些核对的关键点$ _3 \ timesσ_{d-3} $ vacua是ADS $ _D $ CHERN-SIMONS点的挤压/拉伸类似物。
WAdS/WCFT correspondence is an interesting realization of non-AdS holography. It relates 3-dimensional Warped-Anti-de Sitter (WAdS$_3$) spaces to a special class of 2-dimensional quantum field theory with chiral scaling symmetry that acts only on right-moving modes. The latter are often called Warped Conformal Field Theories (WCFT$_2$), and their existence makes WAdS/WCFT particularly interesting as a tool to investigate a new type of 2-dimensional conformal structure. Besides, WAdS/WCFT is interesting because it enables to apply holographic techniques to the microstate counting problem of non-AdS, non-supersymmetric black holes. Asymptotically WAdS$_3$ black holes (WBH$_3$) appear as solutions of topologically massive theories, Chern-Simons theories, and many other models. Here, we explore WBH$_3\times Σ_{D-3}$ solutions of $D$-dimensional higher-curvature gravity, with $Σ_{D-3}$ being different internal manifolds, typically given by products of deformations of hyperbolic spaces, although we also consider warped products with time-dependent deformations. These geometries are solutions of the second order higher-curvature theory at special (critical) points of the parameter space, where the theory exhibits a sort of degeneracy. We argue that the dual (W)CFT at those points is actually trivial. In many respects, these critical points of WAdS$_3 \times Σ_{D-3}$ vacua are the squashed/stretched analogs of the AdS$_D$ Chern-Simons point of Lovelock gravity.
