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Bethe ansatz in 2d conformal field theory

Tomáš Procházka · CERN

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About

The usual approach to study 2d CFT relies on the Virasoro algebra and its representation theory. Moving away from the criticality, this infinite dimensional symmetry is lost so it is useful to have a look at 2d CFTs from more general framework of quantum integrability. Every 2d conformal field theory has a natural infinite dimensional family of commuting higher spin Hamiltonians that can be constructed out of Virasoro generators. Perhaps surprisingly two different sets of Betheansatz equations are known that be used to diagonalize these (one by Bazhanov-Lukyanov-Zamolodchikov and another by Litvinov). I want to discuss these constructions as well as their relation to W algebras and the affine Yangian symmetry. .

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The talk

  1. Bethe ansatz in 2d conformal field theory 2023-05-09 · 1 h 8 min · CERN's player

Credits and licence

Institution
CERN
Department
TH String Theory Seminar
Speaker
Tomáš Procházka
Year
2023
Language
English
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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