变形）赫米矩阵模型的高阶约束条件

IF 4.2 2区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

The European Physical Journal C Pub Date : 2024-10-10 DOI:10.1140/epjc/s10052-024-13377-2

Rui Wang

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引用次数: 0

摘要

我们构建了（\(\beta \）-变形）高阶总导数算子，并分析了它们的显著性质。根据这些算子，我们推导出了（（beta）-变形）赫米矩阵模型的高阶约束。我们证明了这些（（\（beta \）-变形）高阶约束可还原为维拉索罗约束。同时，我们还证明了赫尔米特矩阵模型约束的伊藤山松猜想。我们还发现，通过重定标变量变换，两组约束算子成为文献中（（beta）-变形）分治函数层次的 W-operators 的 W-representations 。

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Higher order constraints for the (\(\beta \)-deformed) Hermitian matrix models

We construct the (\(\beta \)-deformed) higher order total derivative operators and analyze their remarkable properties. In terms of these operators, we derive the higher order constraints for the (\(\beta \)-deformed) Hermitian matrix models. We prove that these (\(\beta \)-deformed) higher order constraints are reducible to the Virasoro constraints. Meanwhile, the Itoyama–Matsuo conjecture for the constraints of the Hermitian matrix model is proved. We also find that through rescaling variable transformations, two sets of the constraint operators become the W-operators of W-representations for the (\(\beta \)-deformed) partition function hierarchies in the literature.

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来源期刊

The European Physical Journal C 物理-物理：粒子与场物理

CiteScore

8.10

自引率

15.90%

发文量

1008

审稿时长

2-4 weeks

期刊介绍： Experimental Physics I: Accelerator Based High-Energy Physics Hadron and lepton collider physics Lepton-nucleon scattering High-energy nuclear reactions Standard model precision tests Search for new physics beyond the standard model Heavy flavour physics Neutrino properties Particle detector developments Computational methods and analysis tools Experimental Physics II: Astroparticle Physics Dark matter searches High-energy cosmic rays Double beta decay Long baseline neutrino experiments Neutrino astronomy Axions and other weakly interacting light particles Gravitational waves and observational cosmology Particle detector developments Computational methods and analysis tools Theoretical Physics I: Phenomenology of the Standard Model and Beyond Electroweak interactions Quantum chromo dynamics Heavy quark physics and quark flavour mixing Neutrino physics Phenomenology of astro- and cosmoparticle physics Meson spectroscopy and non-perturbative QCD Low-energy effective field theories Lattice field theory High temperature QCD and heavy ion physics Phenomenology of supersymmetric extensions of the SM Phenomenology of non-supersymmetric extensions of the SM Model building and alternative models of electroweak symmetry breaking Flavour physics beyond the SM Computational algorithms and tools...etc.