Under multicritical conditions the edge scaling limit of correlations for the shifted Schur measure converges to the higher-order Airy kernel determinant, demonstrating a Pfaffian-to-determinantal transition.
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Generalizes Landau-Ginzburg models of Dubrovin-Zhang form to Dynkin type A, develops a pole-collision comparison on Hurwitz space strata, and proves a prepotential structural result plus the Ma-Zuo conjecture for arbitrary rank and dimension.
A position-space discretization on a cylinder approximates the modular operator for one and two double cones in the 1+1D massive Majorana field, showing nontrivial mass dependence and reduced bilocal terms at higher masses.
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Multicritical Scaling Limit of Shifted Schur Measure
Under multicritical conditions the edge scaling limit of correlations for the shifted Schur measure converges to the higher-order Airy kernel determinant, demonstrating a Pfaffian-to-determinantal transition.
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Landau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type A
Generalizes Landau-Ginzburg models of Dubrovin-Zhang form to Dynkin type A, develops a pole-collision comparison on Hurwitz space strata, and proves a prepotential structural result plus the Ma-Zuo conjecture for arbitrary rank and dimension.
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Numerical approach to the modular operator for fermionic systems
A position-space discretization on a cylinder approximates the modular operator for one and two double cones in the 1+1D massive Majorana field, showing nontrivial mass dependence and reduced bilocal terms at higher masses.