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Virasoro algebras, kinematic space and the spectrum of modular Hamiltonians in CFT$_2$

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arxiv 2101.10211 v3 pith:YZOI5BEZ submitted 2021-01-25 hep-th

Suchetan Das , Bobby Ezhuthachan , Somnath Porey , Baishali Roy This is my paper
classification hep-th
keywords kinematicspaceblocksdescriptioneigenmodesmodularvirasoroaction
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abstract

We construct an infinite class of eigenmodes with integer eigenvalues for the Vacuum Modular Hamiltonian of a single interval $N$ in 2d CFT and study some of its interesting properties, which includes its action on OPE blocks as well as its bulk duals. Our analysis suggests that these eigenmodes, like the OPE blocks have a natural description on the so called kinematic space of CFT$_2$ and in particular realize the Virasoro algebra of the theory on this kinematic space. Taken together, our results hints at the possibility of an effective description of the CFT$_2$ in the kinematic space language.

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  1. JT gravity and deformed CFTs

    hep-th 2025-07 conditional novelty 5.0 of 10

    Deformed CFTs on a strip with a stretched-horizon conformal boundary are proposed as UV completions of pure and matter-coupled JT gravity, reproducing its entropy and a Page-curve-like saturation.

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