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   Articles with "matrix models" as a keyword



Symmetry breaking in quantum curves and super Chern-Simons matrix models

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recommendations! Published in 2019 at "Journal of High Energy Physics"

DOI: 10.1007/jhep01(2019)210

Abstract: A bstractIt was known that quantum curves and super Chern-Simons matrix models correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one, called the del Pezzo curve, enjoys symmetry of… read more here.

Keywords: simons matrix; matrix models; chern simons; curves super ... See more keywords
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Cosmological space-times with resolved Big Bang in Yang-Mills matrix models

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recommendations! Published in 2017 at "Journal of High Energy Physics"

DOI: 10.1007/jhep02(2018)033

Abstract: A bstractWe present simple solutions of IKKT-type matrix models that can be viewed as quantized homogeneous and isotropic cosmological space-times, with finite density of microstates and a regular Big Bang (BB). The BB arises from… read more here.

Keywords: matrix models; big bang; space; cosmological space ... See more keywords

Holographic deformations of matrix models

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recommendations! Published in 2025 at "Journal of High Energy Physics"

DOI: 10.1007/jhep07(2025)051

Abstract: We study maximal supergravity in two dimensions, obtained from reduction of IIA supergravity on an S8 sphere. The theory captures the low-lying fluctuations around the non-conformal D0-brane near-horizon geometry, dual to operators in the BFSS… read more here.

Keywords: matrix models; supergravity; holographic deformations; deformations matrix ... See more keywords

Simulating matrix models with tensor networks

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recommendations! Published in 2024 at "Journal of High Energy Physics"

DOI: 10.1007/jhep09(2025)116

Abstract: Matrix models, as quantum mechanical systems without explicit spatial dependence, provide valuable insights into higher-dimensional gauge and gravitational theories, especially within the framework of string theory, where they can describe quantum black holes via the… read more here.

Keywords: matrix models; matrix; simulating matrix; models tensor ... See more keywords

Thermofield theory of large N matrix models

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recommendations! Published in 2025 at "Journal of High Energy Physics"

DOI: 10.1007/jhep09(2025)192

Abstract: We develop analytical and numerical methods for the matrix thermofield in the large N limit. Through the double collective representation on the Schwinger-Keldysh contour, it provides thermodynamical properties and finite temperature correlation functions, for large… read more here.

Keywords: thermofield theory; theory large; matrix models; large matrix ... See more keywords
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Punctures and p-Spin Curves from Matrix Models II

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recommendations! Published in 2021 at "Journal of Statistical Physics"

DOI: 10.1007/s10955-021-02776-4

Abstract: The intersection numbers for general integer p-spin curves of the moduli space are evaluated from the n-point functions in matrix models in Laurent expansions. The results coincide with the previous values derived from the recursive… read more here.

Keywords: spin curves; matrix models; punctures spin; curves matrix ... See more keywords

Parametric matrix models

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recommendations! Published in 2024 at "Nature Communications"

DOI: 10.1038/s41467-025-61362-4

Abstract: We present a general class of machine learning algorithms called parametric matrix models. In contrast with most existing machine learning models that imitate the biology of neurons, parametric matrix models use matrix equations that emulate… read more here.

Keywords: matrix models; parametric matrix; biology; machine learning ... See more keywords
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A bifurcation theorem for nonlinear matrix models of population dynamics

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recommendations! Published in 2019 at "Journal of Difference Equations and Applications"

DOI: 10.1080/10236198.2019.1699916

Abstract: ABSTRACT We prove a general theorem for nonlinear matrix models of the type used in structured population dynamics that describes the bifurcation that occurs when the extinction equilibrium destabilizes as a model parameter is varied.… read more here.

Keywords: matrix models; nonlinear matrix; bifurcation theorem; theorem nonlinear ... See more keywords

Eikonal formulation of large dynamical random matrix models.

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recommendations! Published in 2021 at "Physical review. E"

DOI: 10.1103/physreve.104.054111

Abstract: The standard approach to dynamical random matrix models relies on the description of trajectories of eigenvalues. Using the analogy from optics, based on the duality between the Fermat principle (rays) and the Huygens principle (wavefronts),… read more here.

Keywords: dynamical random; matrix models; eikonal formulation; random matrix ... See more keywords

Correlators in the β-deformed Gaussian Hermitian and complex matrix models

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recommendations! Published in 2019 at "International Journal of Modern Physics A"

DOI: 10.1142/s0217751x1950221x

Abstract: We investigate the β-deformed Gaussian Hermitian and N × N complex matrix models which are defined as the eigenvalue integral representations. Their W1+∞ constraints are constructed such that the c... read more here.

Keywords: matrix models; complex matrix; hermitian complex; deformed gaussian ... See more keywords