Bootstraps to strings: solving random matrix models with positivity

DOI10.1007/JHEP06(2020)090zbMath1437.83141arXiv2002.08387MaRDI QIDQ783904

Henry W. Lin

Publication date: 4 August 2020

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.08387

zbMATH Keywords

matrix models\(1/N\) expansionfield theories in lower dimensions

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) String and superstring theories in gravitational theory (83E30) Applications of statistics to physics (62P35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (17)

Numerical bootstrap in quantum mechanics ⋮ Bootstrapping Bloch bands ⋮ Bootstrapping more QM systems ⋮ Bootstrapping Dirac ensembles ⋮ Bootstrap bounds on closed Einstein manifolds ⋮ \( \mathrm{AdS}_3\) wormholes from a modular bootstrap ⋮ Bootstrap method in harmonic oscillator ⋮ Bootstrapping Calabi–Yau quantum mechanics ⋮ Bootstrapping the gap in quantum spin systems ⋮ Hidden symmetries and large \(N\) factorisation for permutation invariant matrix observables ⋮ Feynman integrals from positivity constraints ⋮ Bootstrap bounds on D0-brane quantum mechanics ⋮ More on holographic correlators: twisted and dimensionally reduced structures ⋮ Large N optimization for multi-matrix systems ⋮ Notes on matrix models (matrix musings) ⋮ Analytic and numerical bootstrap for one-matrix model and ``unsolvable two-matrix model ⋮ From noncommutative geometry to random matrix theory

Cites Work

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• Unitary and complex matrix models as 1-d type 0 strings
• Quantum field theory techniques in graphical enumeration
• The classical moment problem as a self-adjoint finite difference operator
• A large-\(N\) reduced model as superstring
• Planar diagrams
• Loop equations and bootstrap methods in the lattice
• Formal Matrix Integrals and Combinatorics of Maps
• The truncated tracial moment problem
• Developments in topological gravity
• The planar approximation. II
• The truncated complex $K$-moment problem
• Symmetric vertex models on planar random graphs

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