A Non-Perturbative Random Matrix Model of ${\cal N}=2$ JT Supergravity

Autor: Johnson, Clifford V.
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: It is shown how to non-perturbatively define a random matrix model that captures key physics of ${\cal N}{=}2$ Jackiw-Teitelboim (JT) supergravity, going well beyond the perturbative topological expansion defined recently by Turiaci and Witten. A decomposition into an infinite family of certain minimal models is derived, leading to the definition of a non-linear differential equation from which the physics may be computed. BPS states are naturally described by the model. The non-perturbative completions of the spectral densities for non-BPS multiplets are readily extracted.
Comment: 4 main pages, 2 supplemental material pages, 4 figures, 1 trumpet (v3: Complete description in terms of component minimal models for all sectors achieved! New exact formulae presented.)
Databáze: arXiv