Abstract
We analyze deformations of \( \mathcal{N} \) = 1 Jackiw-Teitelboim (JT) supergravity by adding a gas of defects, equivalent to changing the dilaton potential. We compute the Euclidean partition function in a topological expansion and find that it matches the perturbative expansion of a random matrix model to all orders. The matrix model implements an average over the Hamiltonian of a dual holographic description and provides a stable non-perturbative completion of these theories of \( \mathcal{N} \) = 1 dilaton-supergravity. For some range of deformations, the supergravity spectral density becomes negative, yielding an ill-defined topological expansion. To solve this problem, we use the matrix model description and show the negative spectrum is resolved via a phase transition analogous to the Gross-Witten-Wadia transition. The matrix model contains a rich and novel phase structure that we explore in detail, using both perturbative and non-perturbative techniques.
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Rosso, F., Turiaci, G.J. Phase transitions for deformations of JT supergravity and matrix models. J. High Energ. Phys. 2022, 187 (2022). https://doi.org/10.1007/JHEP02(2022)187
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DOI: https://doi.org/10.1007/JHEP02(2022)187