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.
- Pub Date:
- November 2022
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- Quantum Physics
- 37 pages, 8 figures, add references and revise sec 4.2