Abstract
We consider an orthogonal polynomial formulation of the double scaling limit of multicritical matrix models in the β = 1 Dyson-Wigner class. They capture the physics of 2D quantum gravity coupled to minimal matter on unorientable surfaces, otherwise called unoriented minimal strings. We derive a formula for the density of states valid to all orders in perturbation theory. We show how to define an interpolation between the multicritical models and that a certain interpolation among an infinite number of them provides an alternative definition of unoriented JT gravity. We discuss the strengths and weaknesses of our formulation.
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Acknowledgments
We are grateful to Clifford V. Johnson for many helpful conversations and his guidance in the preperation of this manuscript. Wasif Ahmed thanks Sushmit Hossain for helping initially with MATLAB. This work is supported in part by the US Department of Energy under grant DE-SC0011687.
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Ahmed, W., Lowenstein, A. Perturbative unorientable JT gravity and matrix models. J. High Energ. Phys. 2024, 118 (2024). https://doi.org/10.1007/JHEP06(2024)118
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DOI: https://doi.org/10.1007/JHEP06(2024)118