Topological Complexity in AdS<sub>3</sub>/CFT<sub>2</sub>
Topological Complexity in AdS<sub>3</sub>/CFT<sub>2</sub>
We consider subregion complexity within the AdS3/CFT2 correspondence. We rewrite the volume proposal, according to which the complexity of a reduced density matrix is given by the spacetime volume contained inside the associated Ryu-Takayanagi (RT) surface, in terms of an integral over the curvature. Using the Gauss-Bonnet theorem we evaluate …