Open Virasoro TQFT equals fixed-length/angle 3d gravity path integrals on compact regions and yields the CTV–scalar Virasoro relation via open-closed duality.
Kusuki,Analytic bootstrap in 2D boundary conformal field theory: towards braneworld holography,JHEP03(2022) 161 [2112.10984]
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3d gravity on Σ_{g,n} × I with EOW branes equals the Virasoro minimal string random matrix model, with exact match for g=0 n=2 and inner-product formulation for negative Euler characteristic.
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The many facets of a hyperbolic tetrahedron: open and closed triangulations of 3d gravity
Open Virasoro TQFT equals fixed-length/angle 3d gravity path integrals on compact regions and yields the CTV–scalar Virasoro relation via open-closed duality.
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On random matrix statistics of 3d gravity
3d gravity on Σ_{g,n} × I with EOW branes equals the Virasoro minimal string random matrix model, with exact match for g=0 n=2 and inner-product formulation for negative Euler characteristic.