Holo-ween
Petar Simidzija, Mark Van Raamsdonk
Abstract
A bstract We argue that given holographic CFT 1 in some state with a dual spacetime geometry M , and given some other holographic CFT 2 , we can find states of CFT 2 whose dual geometries closely approximate arbitrarily large causal patches of M , provided that CFT 1 and CFT 2 can be non-trivially coupled at an interface. Our CFT 2 states are “dressed up as” states of CFT 1 : they are obtained from the original CFT 1 state by a regularized quench operator defined using a Euclidean path-integral with an interface between CFT 2 and CFT 1 . Our results are consistent with the idea that the precise microscopic degrees of freedom and Hamiltonian of a holographic CFT are only important in fixing the asymptotic behavior of a dual spacetime, while the interior spacetime of a region spacelike separated from a boundary time slice is determined by more universal properties (such as entanglement structure) of the quantum state at this time slice. Our picture requires that low-energy gravitational theories related to CFTs that can be non-trivially coupled at an interface are part of the same non-perturbative theory of quantum gravity.