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Liouville Theory: An Introduction to Rigorous Approaches

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arxiv 2404.02001 v3 pith:43SCY4A3 submitted 2024-04-02 hep-th math-phmath.MPmath.PR

Sourav Chatterjee , Edward Witten This is my paper
classification hep-thmath-phmath.MPmath.PR
keywords theoryliouvillequantumrigorousaccessibleapproachesdevelopeddirect
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In recent years, a surprisingly direct and simple rigorous understanding of quantum Liouville theory has developed. We aim here to make this material more accessible to physicists working on quantum field theory.

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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. Pre-Strings Lectures on Artificial Intelligence

    hep-th 2026-07 accept novelty 5.5 of 10

    Lecture notes define neural-network field theory and survey how it recovers known QFT/string results plus applied AI techniques for string problems.

  3. Recursive relations for the S-matrix of Liouville theory

    hep-th 2025-07 conditional novelty 5.0 of 10

    The Liouville S-matrix normal symbol for discrete momenta p=iℏN is derived from recursive equations and matches the authors' earlier contour-integral representation.

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