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Topological versus Non--Topological Theories and $p-q$ Duality in $c \le 1$ 2d Gravity Models

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arxiv hep-th/9210072 v1 pith:KUKC6TWM submitted 1992-10-14 hep-th

S.Kharchev , A.Marshakov This is my paper · ORCID
classification hep-th
keywords dualityformulationmodelsnon--topologicalsolutionsstringtheoriestheory
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abstract

We discuss the non--perturbative formulation for $c \leq 1$ string theory. The field theory like formulation of topological and non--topological models is presented. The integral representation for arbitrary $(p,q)$ solutions is derived which explicitly obeys $p-q$ duality of these theories. The exact solutions to string equation and various examples are also discussed.

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  1. An explicit four-corner dictionary for (2,p) minimal Liouville gravity

    hep-th 2026-08 conditional novelty 6.0 of 10

    For the Lee-Yang series of minimal Liouville gravity, the four Frobenius and spectral-curve descriptions agree at genus zero after one per-insertion factor, and the resonance map is a tree-level Kontsevich frame change.

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