Entanglement and geometry from subalgebras of the Virasoro algebra

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.

Automated summary

In this research, we investigate families of generalised coherent states constructed from SL(2,R) subalgebras of the Virasoro algebra in two-dimensional conformal field theories. We obtain the energy density and entanglement entropy, and discuss their equivalence to similar quantities computed in locally excited states. Additionally, we analyze their holographic geometries and reproduce entanglement entropies using the Ryu-Takayanagi prescription. Lastly, we outline potential applications of this universal class of states in operator growth and inhomogeneous quenches.