论文标题
部分可观测时空混沌系统的无模型预测
Gravitational Blocks, Spindles and GK Geometry
论文作者
论文摘要
我们为GK几何形状描述的一类超对称ADS溶液的超对称作用提供了重力块公式。此操作的极端点描述了由D3-Branes采购的超对称性广告$ _3 $ IIB超级型解决方案,以及SuperSymmmetric Ads $ _2 $ _2 $ $ d = 11 $ SUPERGRAVITY,由M2-branes采购。在这两种情况下,麸皮也被包裹在二维球形上,称为主轴或两个球体。我们开发了用于计算重力块贡献的各种几何方法,使我们能够为各种显式超级溶液恢复先前已知的结果,并将这些结果显着概括为其他紧缩。对于广告$ _3 $解决方案,我们提供了一个一般证明,即我们的脱壳超对称动作与双野外理论中适当的外壳$ c $ - 功能一致,从而在全息图中确立了非常一般的确切结果。对于广告$ _2 $解决方案,我们的引力块公式使我们能够获得超对称性,磁性充电和加速的ADS $ _4 $的黑洞的熵。
We derive a gravitational block formula for the supersymmetric action for a general class of supersymmetric AdS solutions, described by GK geometry. Extremal points of this action describe supersymmetric AdS$_3$ solutions of type IIB supergravity, sourced by D3-branes, and supersymmetric AdS$_2$ solutions of $D=11$ supergravity, sourced by M2-branes. In both cases, the branes are also wrapped over a two-dimensional orbifold known as a spindle, or a two-sphere. We develop various geometric methods for computing the gravitational block contributions, allowing us to recover previously known results for various explicit supergravity solutions, and to significantly generalize these results to other compactifications. For the AdS$_3$ solutions we give a general proof that our off-shell supersymmetric action agrees with an appropriate off-shell $c$-function in the dual field theory, establishing a very general exact result in holography. For the AdS$_2$ solutions our gravitational block formula allows us to obtain the entropy for supersymmetric, magnetically charged and accelerating black holes in AdS$_4$.