Lars Aalsma (Arizona State University) “Complex Geodesics in De Sitter Space”

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Abstract: Geodesics play an important role in holographic quantities such as entropy and complexity. It is therefore of interest to understand to what extent these results can be generalized to De Sitter space. In this talk, I will derive a geodesic approximation to two-point correlation functions of heavy fields in De Sitter space. Intriguingly, this approximation involves a sum over complex geodesics. At late times, the length of these geodesics grows yielding exponential decay of the corrector in conflict with finite entropy. Resolving this paradox necessitates including non-perturbative corrections at late times. I will argue that the geodesic approximation in De Sitter is a useful tool to understand and constrain such effects.