Working Seminar on Mathematical Physics
of HSE University and Skoltech Igor Krichever Center for Advanced Studies
on Wednesdays at 16.20 at aud. 110 of the Faculty of Mathematics [ + zoom ]
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September 18, 2024 / Maxim Gritskov (Skoltech, HSE Univ.) = = Functorial quantum field theory, I October 2, 2024 / Maxim Gritskov (Skoltech, HSE Univ.) = = Functorial quantum field theory, II October 9, 2024 / Mikhail Troshkin (HSE Univ.) = = Bäcklund-Darboux transformations for the KP hierarchy October 16, 2024 / Igor Fedorov (Skoltech, HSE Univ.) = = Genus 3 superstring measure |
October 23, 2024
Alexey Bychkov(Skoltech, HSE Univ.)
O(N) models: deformations, duality, integrability
Every CFT can be perturbed by a certain set of relevant operators without losing integrability. A wide class of such integrable perturbations contains graviton operators with weights encoded by Dynkin-type diagrams. To every such diagram correspond two distinct integrable perturbations.
For the six- and eight-vertex diagrams, we will explicitly show that both choices of relevant operators correspond to two different deformations of the sphere sigma model of dimensions n = 5 and n = 7. It will be demonstrated that both choices of relevant operators respond to (different) solutions of the generalised Ricci equation. Moreover, the first solution corresponds to Yang-Baxter sigma model; the nature of the second deformation is not clear. It is undoubtedly also integrable, but perhaps new