Working Seminar on Mathematical Physics
of HSE University and Skoltech Center for Advanced Studies
on Wednesdays at 16.20 at aud. 109 of the Faculty of Mathematics [ + zoom ]
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September 21, 2022 / Nikita Safonkin (Skoltech, HSE Univ.) = = = Graded graphs and related topics, I September 28, 2022 / Nikita Safonkin (Skoltech, HSE Univ.) = = = Graded graphs and related topics, II October 5, 2022 / Artem Posadskij (MIPT) = = = Conformal mapping onto a polygon with several cuts October 12, 2022 / Alexander Savchenko (Skoltech, HSE Univ.) = = = Numerical solution of flow around three-dimensional bodies October 19, 2022 / Egor Morozov (HSE Univ.) = = = Index of minimal surfaces in Euclidean spaces and spheres, 1 October 26, 2022 / Egor Morozov (HSE Univ.) = = = Index of minimal surfaces in Euclidean spaces and spheres, 2 November 9, 2022 / Ivan Sechin (Skoltech, HSE Univ.) = = = On elliptic quantum algebras November 16, 2022 / Anton Il’yn (Lebedev Inst., HSE Univ.) = = = Geometry of stochastic flows November 23, 2022 / Rodion Zaytsev (Skoltech, HSE Univ.) = = = Arnold’s method for the problem of solvability of equations by radicals |
December 7, 2022
Mikhail Alfimov (HSE Univ., Lebedev Inst.)
On beta-gamma system in Minkowski signature
It is known that certain integrable deformed sigma models in two dimensions admit dual description in terms of Toda-like quantum field theory, determined by a set of so-called screening charges. Recently, it was shown that this dual description can be extended to the sigma models with the target space being a supersphere. In this case in the dual Toda-like Lagrangian there appears a beta-gamma system with the quartic interaction, namely, a bosonic analog of the Thirring model. Despite being well studied in the Euclidean signature, it is not known how to deal with this theory in the Minkowski signature, in particular, how to calculate its S-matrix. In our study we considered one of the ways to define the theory in question and showed that the tree level S-matrix in our construction coincides with the tree level S-matrix of the Complex Sine-Gordon model, also obtaining some one loop results
[ link to access the Seminar – zoom 84806604382, ID 848 0660 4382, Code 1]