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Entanglement and geometry from subalgebras of the Virasoro algebra

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arxiv 2211.03630 v3 pith:A4CZTW62 submitted 2022-11-07 hep-th gr-qcquant-ph

Pawel Caputa , Dongsheng Ge This is my paper · ORCID
classification hep-thgr-qcquant-ph
keywords entanglementstatesalgebrasubalgebrasvirasoroanalogousanalyzeapplications
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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.

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Cited by 3 Pith papers

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    In the PXP model, the arch in the Lanczos coefficients is traced to a linear sl(3) part of the Hamiltonian, and the arch width is proposed as a signal distinguishing scarred from thermalizing states.

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    Quasiperiodically varying the driving Hamiltonian in a 1D conformal field theory produces analytically solvable heating and non-heating phases, with an exact phase transition line.

  3. Holographic correlation functions from wedge

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