Journal of High Energy Physics (Jul 2022)
Sphere and disk partition functions in Liouville and in matrix integrals
Abstract
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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