Noncommutative Geometry Seminar

Entanglement in quantum field theories can be thought of as encoding how far a given physical system is from classical physics, with entanglement entropy being one measure of entanglement. It has recently been argued that for conformal field theories entanglement entropy can be computed as the area of minimal surfaces in dual gravitational theories, and more generally that properties of entanglement correspond to geometric properties in the dual theory. In particular, under certain conditions the first law for entanglement entropy is equivalent to the Einstein equations, and inequalities satisfied by the entanglement entropy translate to energy conditions in the gravitational dual. This talk will overview these exciting new developments, as well as some more speculative ideas of what the future may hold.