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Jackiw-Teitelboim supergravity as a double-cut matrix model

Johnson, Clifford; Rosso, Felipe; Svesko, Andrew; (2021) Jackiw-Teitelboim supergravity as a double-cut matrix model. Physical Review D , 104 (8) , Article 086019. 10.1103/PhysRevD.104.086019. Green open access

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Abstract

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 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 nonperturbative 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.

Type: Article
Title: Jackiw-Teitelboim supergravity as a double-cut matrix model
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevD.104.086019
Publisher version: https://doi.org/10.1103/PhysRevD.104.086019
Language: English
Additional information: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Keywords: Science & Technology, Physical Sciences, Astronomy & Astrophysics, Physics, Particles & Fields, Physics, DE-VRIES EQUATION, QUANTUM, UNITARY, STRINGS, PHASE, LOOPS, FLOW
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery.ucl.ac.uk/id/eprint/10143115
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