Pith. sign in

REVIEW 6 cited by

The complex Liouville string: the matrix integral

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2410.07345 v2 pith:WP63LE22 submitted 2024-10-09 hep-th math-phmath.AGmath.MP

Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez This is my paper · ORCID
classification hep-thmath-phmath.AGmath.MP
keywords stringcomplexdualityliouvilleintegralallowsamplitudesmatrix
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We propose a duality between the complex Liouville string and a two-matrix integral. The complex Liouville string is defined by coupling two Liouville theories with complex central charges $c = 13 \pm i \lambda$ on the worldsheet. The matrix integral is characterized by its spectral curve which allows us to compute the perturbative string amplitudes recursively via topological recursion. This duality constitutes a controllable instance of holographic duality. The leverage on the theory is provided by the rich analytic structure of the string amplitudes that we discussed in arXiv:2409.18759 and allows us to perform numerous tests on the duality.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 6 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. 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...

  5. $x-y$ swap for $(2,2p+1)$ minimal string

    hep-th 2025-06 conditional novelty 6.0 of 10

    An x-y swapped spectral curve is conjectured to reproduce (2,2p+1) minimal string tachyon correlators without resonance transformations; verified at low genus, with a ground-ring extension that does not match HEM.

  6. 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.

Pith tools