• Corpus ID: 85528489

JT gravity as a matrix integral

  title={JT gravity as a matrix integral},
  author={Phil Saad and Stephen H. Shenker and Douglas Stanford},
  journal={arXiv: High Energy Physics - Theory},
We present exact results for partition functions of Jackiw-Teitelboim (JT) gravity on two-dimensional surfaces of arbitrary genus with an arbitrary number of boundaries. The boundaries are of the type relevant in the NAdS${}_2$/NCFT${}_1$ correspondence. We show that the partition functions correspond to the genus expansion of a certain matrix integral. A key fact is that Mirzakhani's recursion relation for Weil-Petersson volumes maps directly onto the Eynard-Orantin "topological recursion… 

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