Abstract
We study a Jackiw-Teitelboim (JT) supergravity theory, defined as an Euclidean path integral over orientable supermanifolds with constant negative curvature, that was argued by Stanford and Witten to be captured by a random matrix model in the $\boldsymbol{\beta}{=}2$ Dyson-Wigner class. We show that the theory is a double-cut matrix model tuned to a critical point where the two cuts coalesce. Our formulation is fully non-perturbative and manifestly stable, providing for explicit unambiguous computation of observables beyond the perturbative recursion relations derivable from loop equations. Our construction shows that this JT supergravity theory may be regarded as a particular combination of certain type 0B minimal string theories, and is hence a natural counterpart to another family of JT supergravity theories recently shown to be built from type 0A minimal strings. We conjecture that certain other JT supergravities can be similarly defined in terms of double-cut matrix models.
Highlights
Jackiw-Teitelboim (JT) gravity [1,2], a theory of 2D dilaton gravity, has emerged as one of the simplest models for studying nontrivial problems in quantum gravity
We study a Jackiw-Teitelboim (JT) supergravity theory, defined as a Euclidean path integral over orientable supermanifolds with constant negative curvature, which was argued by Stanford and Witten to be captured by a random matrix model in the β 1⁄4 2 Dyson-Wigner class
Our construction shows that this JT supergravity theory may be regarded as a particular combination of certain type 0B minimal string theories, and is a natural counterpart to another family of JT supergravity theories recently shown to be built from type 0A minimal strings
Summary
Jackiw-Teitelboim (JT) gravity [1,2], a theory of 2D dilaton gravity, has emerged as one of the simplest models for studying nontrivial problems in quantum gravity. [37,38,39] how to use double-scaled random complex matrix models [40,41,42,43,44] with a potential of the form VðM†MÞ to yield a complete perturbative and nonperturbative definition of the case A supergravity above. [27], the Hermitian matrix model for Q has (after double scaling to match gravity) a spectral density that naturally spreads over the entire real line. This is our first clue: The most commonly studied cases of double-scaled Hermitian matrix models usually have support on the half line, resulting from the fact that the double-scaling limit “zooms in” to capture the universal physics to be found at one critical end point of the.
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