Matrix models and deformations of JT gravity

DOI10.1098/RSPA.2020.0582zbMATH Open1472.83071arXiv2006.13414OpenAlexW3113956334WikidataQ104757128 ScholiaQ104757128MaRDI QIDQ5161219

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Publication date: 29 October 2021

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Abstract: Recently, it has been found that JT gravity, which is a two-dimensional theory with bulk action $-frac12int{mathrmd}^{2}xsqrtgphi(R+2)$, is dual to a matrix model, that is, a random ensemble of quantum systems rather than a specific quantum mechanical system. In this article, we argue that a deformation of JT gravity with bulk action $-frac12int{mathrmd}^{2}xsqrtg(phiR+W(phi))$ is likewise dual to a matrix model. With a specific procedure for defining the path integral of the theory, we determine the density of eigenvalues of the dual matrix model. There is a simple answer if $W(0)=0$, and otherwise a rather complicated answer.

Full work available at URL: https://arxiv.org/abs/2006.13414

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