9 problems
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Equal leading cumulants conjecture for quartic rank-three tensor invariants
Let be a connected -coloured graph with vertices, and consider the quartic rank-three tensor model. Equal leading cumulants conjecture. The supplied source span begins…
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One-dimensional search-space conjecture for the generalized three-color matrix model
One-dimensional search-space conjecture. The matrix model has search-space dimension one: all moments in the large- limit can be written in terms of the coupling constant an…
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Recursive computability of all moments from the second moment
Consider the moments of the quartic bi-tracial two-matrix ensembles, whose relations are governed by the Schwinger–Dyson equations. Recursive moment conjecture. Starting from the s…
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Recursive computability of moments from the second moment
Consider the formal and convergent quartic bi-tracial two-matrix models described in the paper, with moments determined by their Schwinger–Dyson equations. Recursive moment conject…
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Double-quantization conjecture for non-perturbative Schwinger–Dyson equations
The Seiberg–Witten geometry associated with a classical gauge theory is the geometric data underlying its low-energy description, while non-perturbative Schwinger–Dyson equations c…
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Salcedo's saturation conjecture for solutions of the Schwinger–Dyson equation
Let be a complex density, let define the Schwinger–Dyson equation, and let be the space of finite linear combinations … of linear forms assoc…
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The rank conjecture for independent Schwinger–Dyson equations
Let be the family of bubbles with parameter . For each , the Schwinger–Dyson equations form a linear system relating the BEVs of the two bub…
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The conjecture on infinitely many initial conditions for tensor-model Schwinger–Dyson equations
Let be the family of bubbles with parameter , and let the BEVs denote their bubble expectation values. The Schwinger–Dyson equations (SDEs) determine relat…
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The infinity of initial conditions for Schwinger–Dyson solutions
The Schwinger–Dyson equations (SDEs) for the tensor model may admit multiple solutions, described by BEVs (bubble expectation values), and the analysis considers whether finitely m…