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A Two-Dimensional String Cosmology

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arxiv 2302.06625 v3 pith:BILJRUOG submitted 2023-02-13 hep-th

classification hep-th
keywords stringtheoryfour-pointliouvillecentralchargeconformalnumerically
verification ladder T0 review T1 audit T2 compute T3 formal

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We study two-dimensional string theory on a time-dependent background, whose worldsheet description consists of Liouville theory at central charge c = 1 and Liouville theory at central charge c = 25, together with the conformal ghosts. We compute the tree-level three-point and four-point cosmological wavefunctions in string perturbation theory. The latter is evaluated numerically by decomposing the Liouville four-point correlation functions into Virasoro conformal blocks and three-point function coefficients and integrating over the moduli space of the four-punctured sphere string diagram. This computation numerically confirms a surprisingly simple conjectural result for the four-point wavefunction whose physical interpretation remains to be clarified.

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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. Towards the super Virasoro minimal string

    hep-th 2025-05 conditional novelty 7.0 of 10

    The authors derive the timelike super Liouville structure constants from crossing symmetry and construct a tentative Type 0A/0B super Virasoro minimal string whose sphere three-point functions vanish only after sign c...

  2. The Runkel-Watts string

    hep-th 2026-07 conditional novelty 6.0 of 10

    The Runkel-Watts string is a solvable family of two-dimensional string theories whose all-genus amplitudes are generated by SU(2) Yang-Mills TQFT data combined with VMS quantum volumes, and it has a dual matrix-integr...

  3. Strings from Feynman Diagrams

    hep-th 2024-12 conditional novelty 6.0 of 10

    Every Feynman diagram in a two-matrix model is mapped to a unique closed string worldsheet and Belyi embedding, with the diagram's weight equal to the string action.

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