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On Itzykson-Zuber Ansatz

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arxiv 1904.09071 v3 pith:CPJIGCV2 submitted 2019-04-19 math-ph hep-thmath.MP

Qingsheng Zhang , Jian Zhou This is my paper · ORCID
classification math-phhep-thmath.MP
keywords ansatzgravityitzykson-zubertopologicalapplyapproachbehaviorsconstants
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We apply the renormalized coupling constants and Virasoro constraints to derive the Itzykson-Zuber Ansatz on the form of the free energy in topological 2D gravity. We also treat the topological 1D gravity and the Hermitian one-matrix models in the same fashion. Some uniform behaviors are discovered in this approach.

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  1. Non-perturbative effects in JT gravity from KdV equations

    hep-th 2025-05 conditional novelty 6.0 of 10

    The KdV equation governing 2D topological gravity admits a one-parameter transseries; its leading nonperturbative sector reproduces known JT gravity instanton corrections and extends them to multi-instanton order.

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