Abstract
We compute the sphere and disk partition functions in semiclassical Liouville and analogous quantities in double-scaled matrix integrals. The quantity sphere/disk2 is unambiguous and we find a precise numerical match between the Liouville answer and the matrix integral answer. An application is to show that the sphere partition function in JT gravity is infinite.
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Mahajan, R., Stanford, D. & Yan, C. Sphere and disk partition functions in Liouville and in matrix integrals. J. High Energ. Phys. 2022, 132 (2022). https://doi.org/10.1007/JHEP07(2022)132
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DOI: https://doi.org/10.1007/JHEP07(2022)132