New positivity constraints from open bubbles and color matrices provide sharp bounds on unitary tensor integrals at finite N and probe deviations from Gaussian universality.
Chandra,Statistics in 3d gravity from knots and links,2508.10864
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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.
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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Additional constraints for the tensor bootstrap
New positivity constraints from open bubbles and color matrices provide sharp bounds on unitary tensor integrals at finite N and probe deviations from Gaussian universality.
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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.