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SUMMARY:Davide Masoero (Group of Mathematical Physics\, University of Lisb
 on)
DTSTART:20201002T160000Z
DTEND:20201002T170000Z
DTSTAMP:20260423T040334Z
UID:TQFT/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/13/">Co
 unting Monster Potentials</a>\nby Davide Masoero (Group of Mathematical Ph
 ysics\, University of Lisbon) as part of Topological Quantum Field Theory 
 Club (IST\, Lisbon)\n\n\nAbstract\nThe monster potentials were introduced 
 by  Bazhanov-Lukyanov-Zamolodchikov in the framework of the ODE/IM corres
 pondence. They should in fact be in 1:1 correspondence with excited states
  of the Quantum KdV model (an Integrable Conformal Field Theory) since the
 y are the most general potentials whose spectral determinant solves the Be
 the Ansatz equations of such a theory. By studying the large momentum limi
 t of the monster potentials\, I retrieve that:\n\n1) The poles of the mons
 ter potentials asymptotically condensate about the complex equilibria of t
 he ground state potential.\n\n2) The leading correction to such asymptotic
 s is described by the roots of Wronskians of Hermite polynomials.\n\nThis 
 allows me  to associate to each partition of N a unique monster potential
  with N roots\, of which I compute the spectrum. As a consequence\, I prov
 e up to a few mathematical technicalities that\, fixed an integer N\, the 
 number of monster potentials with N roots coincide with the number of inte
 ger partitions of N\, which is the dimension of the level N subspace of th
 e quantum KdV model. In striking accordance with the ODE/IM correspondence
 .\n\nThe talk is based on the preprint  https://arxiv.org/abs/2009.14638 \
 , written in collaboration with Riccardo Conti (Group of Mathematical Phys
 ics of Lisbon University).\n
LOCATION:https://researchseminars.org/talk/TQFT/13/
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