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2D String Theory as Normal Matrix Model

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arxiv hep-th/0302106 v1 pith:NIHSQYAA submitted 2003-02-14 hep-th

classification hep-th
keywords matrixstringgivenmodelmodelsnormalrealizationtheory
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abstract

We show that the $c=1$ bosonic string theory at finite temperature has two matrix-model realizations related by a kind of duality transformation. The first realization is the standard one given by the compactified matrix quantum mechanics in the inverted oscillator potential. The second realization, which we derive here, is given by the normal matrix model. Both matrix models exhibit the Toda integrable structure and are associated with two dual cycles (a compact and a non-compact one) of a complex curve with the topology of a sphere with two punctures. The equivalence of the two matrix models holds for an arbitrary tachyon perturbation and in all orders in the string coupling constant.

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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. 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. 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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