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