Entanglement and geometry from subalgebras of the Virasoro algebra
Paweł Caputa, Dongsheng Ge
Abstract
A bstract In this work we study families of generalised coherent states constructed from SL(2,R) subalgebras of the Virasoro algebra in two-dimensional conformal field theories. We derive the energy density and entanglement entropy and discuss their equivalence with analogous quantities computed in locally excited states. Moreover, we analyze their dual, holographic geometries and reproduce entanglement entropies from the Ryu-Takayanagi prescription. Finally, we outline possible applications of this universal class of states to operator growth and inhomogeneous quenches.
Topics & Concepts
PhysicsQuantum entanglementVirasoro algebraConformal field theoryConformal mapEntropy (arrow of time)Equivalence (formal languages)Operator algebraMathematical physicsQuantum mechanicsClass (philosophy)Theoretical physicsQuantumAlgebra over a fieldPure mathematicsAlgebra representationGeometryCellular algebraMathematicsComputer scienceArtificial intelligenceBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum many-body systems