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The Topological Matrix Model Of c=1 String

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arxiv hep-th/9505127 v2 pith:BKNKKE5L submitted 1995-05-21 hep-th

classification hep-th
keywords modelmatrixstringtheoryactionbackground-independentcasescontains
verification ladder T0 review T1 audit T2 compute T3 formal
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We derive a Kontsevich-type matrix model for the c=1 string directly from the W-infinity solution of the theory. The model that we obtain is different from previous proposals, which are proven to be incorrect. Our matrix model contains the Penner and Kontsevich cases, and we study its quantum effective action. The simplicity of our model leads to an encouraging interpretation in the context of background-independent noncritical string field theory.

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Cited by 2 Pith papers

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

  1. $c=1$, $R=1$ and $N\gg 1$: ZZ instantons in 2D String Theory and Matrix Integrals

    hep-th 2025-01 conditional novelty 6.0 of 10

    At self-dual radius, ZZ instanton normalizations from worldsheet string theory match the matrix model trans-series, with SU(2) boundary condition zero modes playing the key role.

  2. 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.

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