Title: Global symmetry, Euclidean gravity, and the black hole information problem

Abstract: In this talk I will show how the essential ingredients of recent calculations of the Page curve of an evaporating black hole can be usedto generalize a recent argument against global symmetries beyond the AdS/CFT correspondence to more realistic theories of quantum gravity, illustrating a close connection between the absence of global symmetries and a unitary resolution of the black hole informationproblem. I’ll also give several low-dimensional examples of quantum gravity theories which do not have a unitary resolution of the black hole information problem, and which therefore can and do have global symmetries. Motivated by this discussion, I’ll conjecturethat in a certain sense Euclidean quantum gravity is equivalent to holography. Based on recent work with Edgar Shaghoulian.