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SUMMARY:Solutions of the Bethe Ansatz Equations as Spectral Determinants -
  Davide Masoero (Universidade de Lisboa)
DTSTART:20221213T143000Z
DTEND:20221213T153000Z
UID:TALK193244@talks.cam.ac.uk
DESCRIPTION:In 1998\, Dorey and Tateo discovered that the Bethe Equations 
 of the Quantum KdV model (an integrable quantum field theory) are exact qu
 antisation conditions for the spectrum of a certain quantum anharmonic osc
 illator (ODE/IM correspondence)\; moreover\, the eigenvalues of the latter
  operator should coincide with the Bethe roots for the ground state of&nbs
 p\; Quantum KdV.\nIn 2004\, Bazhanov\, Lukyanov & Zamolodhchikov conjectur
 ed that the Bethe roots for every state of the model are the eigenvalues o
 f a linear differential operator\, namely an anharmonic oscillator with a 
 monster potential.\nThis corresponds to the fact that exact quantisation c
 onditions are NOT sufficient to determine the spectrum of a linear differe
 ntial operator\, but more information must be added\, namely which energy 
 levels are occupied or not.\nIn this talk I provide an outline of the proo
 f &ndash\;conditional on the existence of a certain Puiseux series &ndash\
 ; of the BLZ conjecture\, that I have recently obtained in collaboration w
 ith Riccardo Conti. In particular\, I will present our large-momentum anal
 ysis of the Destri-De Vega equation for the Quantum KdV model\, which allo
 ws us to classify solutions of the Bethe Equations.
LOCATION:Seminar Room 1\, Newton Institute
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