18.01.2017 (Wednesday)

Holographic Entanglement Entropy for the Gravitational Anomaly in Four Dimensions

Regular Seminar Jeff Murugan (Cape Town U.)

16:30 QMW
room G.O. Jones 610

We compute the holographic entanglement entropy for the pure gravitational anomaly in 3+1 dimensions. Using the perturbative method developed for com- puting entanglement entropy for quantum field theories, we also compute the parity odd contribution to the entanglement entropy of the dual field theory that comes from a background gravitational Chern-Simons term. We find that, in leading order in the perturbation of the background geometry, the two contribu- tions match except for a logarithmic divergent term on the field theory side. We interpret this extra contribution as encoding our ignorance of the source which creates the perturbation of the geometry.