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The complex Liouville string: worldsheet boundaries and non-perturbative effects

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arxiv 2410.09179 v2 pith:4UKNRZVT submitted 2024-10-11 hep-th

Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez This is my paper · ORCID
classification hep-th
keywords stringcomplexformalismliouvilleworldsheetboundariesmatrixnon-perturbative
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate general observables of the complex Liouville string with worldsheet boundaries. We develop a universal formalism that reduces such observables to ordinary closed string amplitudes without boundaries, applicable to any worldsheet string theory, but particularly simple in the context of 2d or minimal string theories. We apply this formalism to the duality of the complex Liouville string with the matrix integral proposed in arXiv:2409.18759 and arXiv:2410.07345 and showcase the formalism by finding appropriate boundary conditions for various matrix model quantities of interest, such as the resolvent or the partition function. We also apply this formalism towards the computation of non-perturbative effects on the worldsheet mediated by ZZ-instantons. These are known to be plagued by extra subtleties which need input from string field theory to resolve. These computations probe and uncover the duality between the complex Liouville string and the matrix model at the non-perturbative level.

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Cited by 4 Pith papers

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

  1. Complex Conformal Manifolds

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.

  2. A microscopic realization of dS$_3$

    hep-th 2025-01 conditional novelty 7.0 of 10

    Pure dS3 quantum gravity is claimed to be dual to the complex Liouville string's matrix integral, with integrated cosmological correlators equal to resolvent correlators and de Sitter entropy equal to 2 log of the eig...

  3. Deforming the Double Liouville String

    hep-th 2024-12 conditional novelty 7.0 of 10

    For a two-parameter deformation of double Liouville string theory, the sphere partition function is computed to third order in the deformation coupling, with the Complex Liouville String differing from the Virasoro Mi...

  4. 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...

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