ICTS

In developing a theory of quantum gravity, some of the first questions one should ask are: “What are the good observables of the theory?” and “How can one measure them?” In this talk, I will explore how one might measure the topology of a quantum spacetime. I will use the LLM geometries to address this question. This set of supergravitational solutions provide a particularly useful example of the AdS/CFT correspondence (which maps a theory of quantum gravity to conformal field theory). Within this example, we were able to prove that there cannot exist a topology measuring operator, but instead one can extract the topological information from entanglement entropy computations.