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A JT supergravity as a double-cut matrix model
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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.
Forward citations
Cited by 4 Pith papers
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Weil-Petersson volumes for extended JT supergravity from ordinary differential equations
Weil-Petersson volumes for N=2 and N=4 JT supergravity are computed efficiently from the string equation and Gel'fand-Dikii equation, confirming and extending Turiaci-Witten results.
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Extended JT supergravity and random matrix models: The power of the string equation
The string equation, with simple analyticity requirements, determines BPS sectors from non-BPS sectors and yields matrix model descriptions for N=3 and large N=4 JT supergravity.
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Towards the super Virasoro minimal string
The authors derive the timelike super Liouville structure constants from crossing symmetry and construct a tentative Type 0A/0B super Virasoro minimal string whose sphere three-point functions vanish only after sign c...
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Further aspects of Supersymmetric Virasoro Minimal Strings
The paper defines the 0B supersymmetric Virasoro minimal string as an average of two 0A models and shows its loop correlators beyond the leading disc and cylinder vanish to all orders in perturbation theory.
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