An exact construction of codimension two holography

A bstract Recently, a codimension two holography called wedge is proposed as generalization of AdS/CFT. It conjectured that gravitational theory in d + 1 dimensional spacetime dual to ? CFT on the corner wedge. In this paper, we give an exact construction solutions for from ones By applying construction, prove equivalence between and AdS/CFT vacuum Einstein gravity, by showing classical action thus partition function large N limit are same theories. The can be regarded “proof” certain sense. As application powerful equivalence, derive easily holographic Weyl anomaly, Entanglement/Rényi entropy correlation functions holography. Besides, discuss general argue they correspond with suitable matter fields. Interestingly, notice intrinsic Ricci scalar brane always constant, which depends tension. Finally, generalize discussions dS/CFT flat space Remarkably, find AdS/CFT, unified framework asymptotically AdS. Different dualities distinguished different types spacetimes brane.