Filip Landgren (Southampton), Islands and entanglement entropy in curved backgrounds in d dimensions

Tuesday 17 Oct 2023, 14:00 → 16:00 Europe/Stockholm

Albano 3: 6228 - Mega (22 seats) (Albano Building 3)

Entanglement entropy is well studied in 2d, but it is more poorly understood in higher dimensions, in particular on black hole backgrounds.  I will discuss how to compute the entanglement entropy on curved backgrounds.  Our motivations derive from the recent discussions of islands in the context of the black hole information loss paradox. Many of the papers discussing islands have explored the specific setup of two-dimensional JT gravity.  I will discuss the weaknesses and limitations of this simplistic construction. 

Realizing islands in higher dimensions is a formidable challenge.  We demonstrate that not only are the details of islands sensitive to the quantum fields used to model the Hawking radiation, but their very existence as well. Islands are non-generic.  I will also provide the exact space of CFTs that admit islands. I will conclude by discussing how to compute the replica corrections to any thermal stress tensor on any background.