论文标题
拓扑广告中的边界条件$ _4 $/CFT $ _3 $
Boundary Conditions in Topological AdS$_4$/CFT$_3$
论文作者
论文摘要
我们以四维计量的$ spin（4）$的全息双重二维为拓扑扭曲的三维$ \ mathcal {n} = 4 $ field Theories重新审视构造。我们在本文中的重点是突出一些与保留ADS/CFT中超对称性有关的微妙之处，即包含有限的反对，以及需要传统转换的必要性，以找到产生函数的二元理论。在研究这些超级实力溶液的几何形状时，我们得出结论，重力自由能确实独立于边界的度量，并且对于任何平滑溶液而言，它都会消失。
We revisit the construction in four-dimensional gauged $Spin(4)$ supergravity of the holographic duals to topologically twisted three-dimensional $\mathcal{N}=4$ field theories. Our focus in this paper is to highlight some subtleties related to preserving supersymmetry in AdS/CFT, namely the inclusion of finite counterterms and the necessity of a Legendre transformation to find the dual to the field theory generating functional. Studying the geometry of these supergravity solutions, we conclude that the gravitational free energy is indeed independent from the metric of the boundary, and it vanishes for any smooth solution.
