Emergent de Sitter Spaces from Entanglement Entropy
A theory of gravity can be holographically “emergent” from a field theory in one lower dimension. In most known cases, the gravitational theory lives in an asymptotically anti- de Sitter spacetime with very different properties from our own de Sitter universe. I will introduce a second emergent “auxiliary” spacetime constructed from the entanglement entropy of subregions in the field theory. In 2d, this auxiliary space is either a de Sitter spacetime or its various identifications. The modular Hamiltonian, which encodes information about the entanglement properties of a state in the field theory, propagates as a field on this spacetime. We will investigate this proposal and show that it works for a variety of states in a 2d conformal field theory.