Talk page
Title:
Equivalence of Emergent de Sitter Spaces from Conformal Field Theory
Speaker:
Abstract:
Recently, two groups have made distinct proposals for a de Sitter space that is emergent from conformal field theory. The first proposal is that, for two-dimensional holographic CFTs, the kinematic space of geodesics on a space-like slice of an asymptotically anti-de Sitter bulk is two-dimensional de Sitter space, with a metric that can be derived from the entanglement entropy of intervals in the CFT. In the second proposal, de Sitter dynamics emerges naturally from the first law of entanglement entropy for perturbations around the vacuum state of CFTs. I will summarize recent work that provides support for the equivalence of these two emergent spacetimes in the vacuum case and beyond. In particular, I will discuss the kinematic space of nontrivial solutions of 3d gravity, including the BTZ black string (corresponding to a thermal state of the CFT), the BTZ black hole and conical singularities.
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