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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: Non-linear gravity from entanglement in CFTs

Presented by Felix Haehl, UBC

11 August 2017 13:00 in CM221

Nonlinear gravitational equations emerge directly from the physics of conformal field theories. I consider a particular broad class of perturbatively excited states in CFTs and show that up to second order in perturbation theory, the entanglement entropy for all ball-shaped regions can always be represented geometrically (via the Ryu-Takayanagi formula) by an Anti-de Sitter (AdS) geometry. I show that such a geometry necessarily satisfies Einstein's equations perturbatively up to second order, with a stress energy tensor arising from matter fields associated with the sourced primary operators. While this is motivated by, and a consistency check of AdS/CFT, I make no assumptions about this duality at all.

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