Maths HEP Lunchtime Seminars: Entanglement Thermodynamics
7 November 2014 13:00 in CM221
In this talk, we shall first present a holographic argument for the existence of a universal relation for entanglement entropy, similar to the first law of thermodynamics, in a special limit. Then generalising our discussion, away from that special limit, we shall explore the constraints imposed by bulk Einstein equations on entanglement entropy of the boundary theory (in the context of AdS/CFT). We shall then define a new quantity, in terms of entanglement entropy, which is bound to be semi-positive definite, as a consequence of the condition of strong subadditivity (reminiscent of the second law of thermodynamics). We will find that this newly defined quantity has interesting geometrical interpretations, from the bulk point of view.