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The partition function of 2d string theory

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arxiv hep-th/9208031 v1 pith:5FA2AIXR submitted 1992-08-11 hep-th

classification hep-th
keywords deriveexpressionfunctionalgeneratingstringtheorycompactconstraints
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abstract

We derive a compact and explicit expression for the generating functional of all correlation functions of tachyon operators in 2D string theory. This expression makes manifest relations of the $c=1$ system to KP flow and $W_{1+\infty}$ constraints. Moreover we derive a Kontsevich-Penner integral representation of this generating functional.

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Cited by 2 Pith papers

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  1. Sine-Liouville gravity as a Vertex Model on Planar Graphs

    hep-th 2025-12 unverdicted novelty 6.0 of 10

    The seven-vertex matrix model realizes sine-Liouville gravity through a shared classical spectral curve with matrix quantum mechanics but distinct branes, with dilute-dense flow analogous to a gravitational massless s...

  2. $c=1$, $R=1$ 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.

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