22 problems

The two-dimensional Jackiw–Teitelboim (JT) gravity is a toy model of quantum gravity and holography, and the $(2,p)$ minimal string is the corresponding minimal-string theory with…

Type I conjecture. The boundary algebra in JT gravity with an end-of-the-world brane is type I.

Hyperbolic matrix-model conjecture. The disk partition function admits an analytic continuation in $q$ near $q=4$ such that, with

Consider lattice models of self-overlapping polygons and JT gravity in negative curvature, together with analogous random-geometry models. Universal Schwarzian conjecture. The Schw…

Let $L$ be the curvature length scale and $\ell_0$ the lattice edge length for regular or semi-regular hyperbolic tessellations, and let $n$ be the polygon length. Hyperbolic-latti…

Let $\rho^0_{\beta_{\mathrm q}}(A)$ be the area distribution of zero-curvature JT gravity coupled to conformal matter with $c\leq0$, and let $\nu$ be the critical exponent specifie…

Let $\rho^{\mathrm{SOP}}_{\beta_{\mathrm q}}(A)$ be the area distribution of the SOP model, interpreted as pure JT gravity in zero curvature, for quantum boundary length…

The boundary algebra is associated with the entanglement wedge of a single-sided black hole, whose spacetime ends on a single end-of-the-world brane. A type I boundary-algebra conj…

Let JT gravity include non-orientable surfaces, and consider a matrix integral with the spectral curve … The matrix integral is taken in the symmetry class obtained by conjugation…

Let $\mathcal{D}^{(n)}$ denote the $n$th class of diagrams in the $q$-deformed model, and consider its contribution to the empty double-trumpet. Universal vanishing conjecture. The…

Let $\mathcal{D}^{(n)}$ denote the class of $q$-deformed ’t Hooft diagrams indexed by $n$, and consider their contributions to the empty double-trumpet. Higher-class vanishing conj…

Consider the Selberg-regulated matrix model in the double-scaling limit, and the double-trumpet geometry with one operator insertion on each boundary. Selberg double-trumpet conjec…

Let the classes of ’t Hooft diagrams in the $q$-deformed model be ordered by their contribution to the matter partition function $Z(b)$, and suppose the first four classes reproduc…

Let $Z(b)$ denote the matter partition function entering the empty double-trumpet amplitude computed with the $q$-deformed regulator, and let the $\epsilon=0$ toy model be Gaussian…

Let the $q$-deformed two-matrix model be the proposed regulated model with parameters $q_A$, $q_B$, and $\tilde q$, whose solvable limits include setting any one of these parameter…

Let the Selberg matrix model be the regulated two-matrix model whose disk and double-trumpet correlators are constructed to reproduce JT gravity minimally coupled to a scalar field…

Let the Selberg-regulated matrix model have the connected cylinder correlator with one $\mathcal{O}$ insertion on each boundary, and let the JT double-trumpet two-point function be…

Let the cylinder diagrams be the ’t Hooft diagrams classified by the proposed two-matrix model, and let a general surface topology specify the corresponding gravitational path inte…

Consider the matrix-model ’t Hooft diagrams contributing to the cylinder correlators, and let the corresponding double-trumpet gravitational result be the sum of contributions from…

Let $H$ and $\mathcal{O}$ be the matrices defining the single-trace matrix model under consideration, whose potential is chosen to reproduce the JT gravity with matter disk data. S…

Consider the volumes of moduli spaces of bordered super-Riemann surfaces, with the sum taken equally over even and odd spin structures. JT supergravity prediction. The conjectured…

Pure JT supergravity, together with the appropriate topological field theory, is expected to be dual to matrix integrals of the types discussed. JT supergravity–matrix integral dua…