5 problems
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The matrix-model conjecture for the Painlevé I specific heat of two-dimensional gravity
Consider the model of two-dimensional quantum gravity with , whose partition function is formally expanded as … Let and be…
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The Duistermaat–Heckman conjecture for puncture and genus expansions in two-dimensional gravity
The model is two-dimensional gravity with an imaginary part in the coefficient of the Euler characteristic, equivalently with a -vacuum structure that produces alte…
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The hyperbolic loop model phase-transition conjecture at
Phase-transition conjecture. At , a transition from non-touching geodesic boundaries to overlapping geodesic boundaries should occur, similarly to the corresponding trans…
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Minimal string–matrix integral duality conjecture
The minimal string is a theory of two-dimensional gravity coupled to the minimal model, with a positive integer. Minimal string–matrix integral duality conjecture. T…
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Universality conjecture for evaporating two-dimensional black holes
Universality conjecture. For macroscopic black holes formed by smooth infalling matter profiles of compact support, these universalities will continue to hold soon after the GDH tu…