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SUMMARY:“Recursion relations for conformal blocks in four dimensions"
DTSTART:20260601T140000
DTSTAMP:20260530T025613Z
UID:0ad45423f9ebeb1dd7365f91e2b5eafddf81a7ee5fe835cc844c8602
CATEGORIES:Conferences - Seminars
DESCRIPTION:Petr Kravchuk  (King's College London)\n\n \nMost modern alg
 orithms for computation of conformal blocks in numerical bootstrap applica
 tions are based on Zamolodchikov-like recursion relations. These relations
  come from the idea that conformal blocks have poles in the exchanged scal
 ing dimension\, associated to appearance of null states in the correspondi
 ng parabolic Verma module. In odd dimensions the pole is simple\, the resi
 due is another conformal block\, and the recursion relation is well unders
 tood. However\, in even dimensions double poles can appear\, and the struc
 ture of the recursion relation is an open problem. In this talk\, I will d
 escribe the surprisingly subtle solution of this problem in four dimension
 s. In particular\, I will explain that the natural setting for this questi
 on is the principal block of the deformed parabolic BGG category O\, which
  can be efficiently studied using Morita theory.  Based on work in progre
 ss with Colum Flynn.\n\n\n\n 
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727
STATUS:CONFIRMED
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