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Rolling Tachyons from Liouville theory

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arxiv hep-th/0306026 v1 pith:CASLX6ZN submitted 2003-06-03 hep-th

classification hep-th
keywords limitliouvilletheorymodelsamplitudesbehaviorcarefulclosed
verification ladder T0 review T1 audit T2 compute T3 formal
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In this work we propose an exact solution of the c=1 Liouville model, i.e. of the world-sheet theory that describes the homogeneous decay of a closed string tachyon. Our expressions are obtained through careful extrapolation from the correlators of Liouville theory with c > 25. In the c=1 limit, we find two different theories which differ by the signature of Liouville field. The Euclidean limit coincides with the interacting c=1 theory that was constructed by Runkel and Watts as a limit of unitary minimal models. The couplings for the Lorentzian limit are new. In contrast to the behavior at c > 1, amplitudes in both c=1 models are non-analytic in the momenta and consequently they are not related by Wick rotation.

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Cited by 5 Pith papers

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

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    In AdS3 with conformal boundary conditions, holographic entanglement entropy is still the minimal-surface area over 4G_N, and the dual Liouville plus T Tbar theory gives entropy governed by the effective central charge c_eff.

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    Higher-genus corrections to the 2D de Sitter disk path integral follow a universal structure that at large boundary length mimics topological gravity, with new explicit expressions through genus six.

  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. Timelike Liouville theory and AdS$_3$ gravity at finite cutoff

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    Proposes that AdS3 gravity at finite cutoff is dual to a CFT2 coupled to timelike Liouville theory deformed by a marginal operator, with checks via semiclassical partition functions and EOM matching.

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