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SUMMARY:“Integrable structure of the SU(2) WZNW model "
DTSTART:20260313T120000
DTSTAMP:20260602T043638Z
UID:f407ee0f89c2708a36a900e9e62bf17aa9a0e61c270c47034f480998
CATEGORIES:Conferences - Seminars
DESCRIPTION:Sylvain Lacroix (LPTHE Paris)\nThe SU(2) Wess-Zumino-Novikov-W
 itten model is one of the best understood 2d conformal field theory. In th
 is talk\, I will discuss its integrable structure. In particular\, I will 
 give evidence for the existence of an infinite number of commuting higher-
 spin local charges built from the current algebra underlying this CFT. In 
 the second half of the talk\, I will discuss the diagonalisation of these 
 commuting operators on the Hilbert space of the theory\, formed by highest
 -weight representations of the current algebra. In particular\, I will rev
 iew a conjecture relating the spectrum of these operators to the propertie
 s of specific ODEs (within the so-called ODE/IM correspondence). This is b
 ased on 2601.20960 with Adrien Molines.
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727
STATUS:CONFIRMED
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