Fractional operator powers generate non-positivity constraints that determine the SYK bilinear spectrum and converge to exact eigenvalues under truncation.
Lin,Bootstraps to strings: solving random matrix models with positivity,JHEP06 (2020) 090 [2002.08387]
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Finite-N bootstrap yields N-independent bounds for matrix models but N-dependent novel bounds on the two-point function versus quartic coupling for tensor models.
Proposes complex matrix models for BPS correlators in N=4 SYM, relating eigenvalue distributions to LLM droplet shapes and enabling computations of one-point functions and three-point correlators via reductions to known models.
Bootstrap method in quantum mechanics has an ambiguity problem for mixed potential and operator types, with three proposed resolutions.
A regularized finite-dimensional master field numerically solves large-N reduced matrix models, reproducing exact Euclidean solutions and perturbative Minkowski results for one- and two-matrix cases.
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Quantum mechanical bootstrap without inequalities: SYK bilinear spectrum
Fractional operator powers generate non-positivity constraints that determine the SYK bilinear spectrum and converge to exact eigenvalues under truncation.
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Regularized Master-Field Approximation for Large-$N$ Reduced Matrix Models
A regularized finite-dimensional master field numerically solves large-N reduced matrix models, reproducing exact Euclidean solutions and perturbative Minkowski results for one- and two-matrix cases.