Renyi Entropy and Geometry

Understand

Entanglement entropy in even dimensional conformal field theories (CFTs) contains well-known universal terms arising from the conformal anomaly.

• Renyi entropies are natural generalizations of the entanglement entropy that are much less understood.
• Above two spacetime dimensions, the universal terms in the Renyi entropies are unknown for general entangling geometries.
• We conjecture a new structure in the dependence of the four-dimensional Renyi entropies on the intrinsic and extrinsic geometry of the entangling surface.