Virasoro entanglement Berry phases

A bstract We study the parallel transport of modular Hamiltonians encoding entanglement properties a state. In case 2d CFT, we consider change state through action with suitable diffeomorphism on circle: one that diagonalizes adjoint Hamiltonian. These vector fields exhibit kinks at interval boundary, thus together their central extension they differ from usual elements Virasoro algebra. The Berry curvature associated to state-changing is Kirillov-Kostant symplectic form an coadjoint orbit, which differs appreciably known orbits. find boundary process computes bulk for Euclidean geometry obtained backreaction cosmic brane, Dirichlet conditions location brane. propose this gives reasonable definition wedge.