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.
A finite-dimensional regularization of the master field enables direct numerical computation of large-N matrix models in both Euclidean and Minkowski signatures while reproducing known solutions in simple test 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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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.
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Regularized Master-Field Approximation for Large-$N$ Reduced Matrix Models
A finite-dimensional regularization of the master field enables direct numerical computation of large-N matrix models in both Euclidean and Minkowski signatures while reproducing known solutions in simple test cases.