Entanglement and geometry from subalgebras of the Virasoro algebra

Author:

Caputa Pawel,Ge DongshengORCID

Abstract

Abstract 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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

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