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Orthogonal polynomials with complex densities and quantum minimal surfaces

Giovanni Felder, Jens Hoppe

8/4/25 Published in : arXiv:2504.06197

We show that the discrete Painlevé-type equations arising from quantum minimal surfaces are equations for recurrence coefficients of orthogonal polynomials for indefinite hermitian products. As a consequence we obtain an explicit formula for the initial conditions leading to positive solutions.

Entire article

Phase I & II research project(s)

  • Field Theory
  • Geometry, Topology and Physics

Phase III direction(s)

  • Spectral gap problems in non-perturbative quantum theory
  • Holography and bulk-boundary correspondence
  • From Field Theory to Geometry and Topology

Quantum Kinetic Uncertainty Relations in Mesoscopic Conductors at Strong Coupling

What is a photon in de Sitter spacetime?

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The National Centres of Competence in Research (NCCRs) are a funding scheme of the Swiss National Science Foundation

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