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The complex Liouville string

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arxiv 2409.17246 v2 pith:UQ7XBJ5K submitted 2024-09-25 hep-th

Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez This is my paper
classification hep-th
keywords complexliouvillestringtheoryworldsheetadmitsamplitudesanalyze
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We introduce the complex Liouville string, a solvable string theory defined by coupling two Liouville theories with complex conjugate central charges $c \in 13+i \mathbb{R}$ on the worldsheet. We compute its amplitudes from first principles and establish a duality with a double-scaled two-matrix integral. We also analyze general worldsheet boundaries and non-perturbative effects in the genus expansion. By expressing the complex Liouville string as a 2d dilaton gravity theory with a sine potential, we show that it admits both AdS$_2$ and dS$_2$ vacua.

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Cited by 7 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. 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.

  3. Quantum gravity around ultracold black holes from DSSYK

    hep-th 2026-08 conditional novelty 6.0 of 10

    Ultracold Reissner-Nordström de Sitter black hole fluctuations are proposed to be described by a gauged near-flat dilaton gravity model with a Gaussian spectral density, yielding a finite partition function and dynami...

  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...

  5. 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.

  6. Probing the singularity at the holographic screen via $q$-holography

    hep-th 2025-07 conditional novelty 6.0 of 10

    The probe-regime two-point function of sinh dilaton gravity matches the q-deformed Ward identity correlator, indicating an emergent quantum hyperbolic disk with SLq(2) isometry near the holographic boundary.

  7. Emergent Holographic Spacetime from Quantum Information

    hep-th 2025-06 unverdicted novelty 3.0 of 10

    Takayanagi's essay outlines a research program in which holographic spacetime, including the time direction, may emerge from entanglement, complexity, and complex-valued pseudo-entropy, without presenting a new derivation.

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