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Sphere and disk partition functions in Liouville and in matrix integrals

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arxiv 2107.01172 v1 pith:SOG2ZJLS submitted 2021-07-02 hep-th

Raghu Mahajan , Douglas Stanford , Cynthia Yan This is my paper · ORCID
classification hep-th
keywords spherediskliouvillematrixpartitionanswerfunctionsintegrals
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute the sphere and disk partition functions in semiclassical Liouville and analogous quantities in double-scaled matrix integrals. The quantity sphere/disk^2 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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Toward the Structure Constants of $\mathcal{N}=2$ Liouville Theory

    hep-th 2026-07 conditional novelty 7.0 of 10

    N=2 Liouville structure constants are proposed via mirror symmetry to the SL(2)_k/U(1) supercoset, with angular-momentum-violating sectors given explicitly and tested semiclassically to leading loop order.

  2. Quantum Liouville Cosmology

    hep-th 2025-12 unverdicted novelty 6.0 of 10

    Timelike Liouville disk path integrals in fixed K-representation produce Hartle-Hawking-like states, a conjecture for all-loop wavefunctions, and a K-independent inner product for 2D quantum cosmology.

  3. A Brief Note on Complex AdS-Schwarzschild Black Holes

    hep-th 2025-09 conditional novelty 6.0 of 10

    Complex AdS-Schwarzschild saddles that naively dominate low-temperature holographic partition functions are argued, in a mini-superspace model, not to contribute, preserving thermal AdS as the correct saddle.

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