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Résumé |
In this talk, I will discuss some preliminary results on the quantum
integrable structure of the Wess-Zumino-Witten model. Focusing on the
group SU(2), 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 review a conjecture relating the spectrum of these
operators to the properties of specific ODEs (within the so-called ODE/IM
correspondence). This is based on work in progress with Adrien Molines. |
