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Renormalization group flow in two-dimensional N=2 supersymmetric sigma models

组织者

沙伊莱什·拉尔 , 李淇明 , 安东·普里比托克 , 侯赛因·亚瓦尔塔努

演讲者

Mikhail Alfimov

时间

2026年04月02日 11:00 至 12:00

地点

A7-302

线上

Zoom 388 528 9728 (BIMSA)

摘要

This talk will discuss the renormalization group equation for N=2 supersymmetric sigma models in two-dimensional spacetime. The presence of this supersymmetry results in the Kaehler property of the manifold describing the space of fields, which allows us to reformulate the renormalization group equation in terms of the Kaehler potential. It will be shown that the complete T-dual eta-deformed CP^(n-1) sigma models and the lambda-deformed SU(2)/U(1) and SU(3)/U(2) sigma models provide solutions of this equation up to and including five-loop order in a special renormalization scheme. The complex structure of the lambda-deformed SU(2)/U(1) sigma model will be shown to lead to the Kaehler potential becoming the sum of the Kaehler potentials of the eta-deformed SU(2)/U(1) model and its T-dual for appropriate choice of target space complex coordinates. In conclusion we will discuss the implications of this observation in the context of Poisson-Lee symmetries of the eta- and lambda-deformed models.

演讲者介绍

Mikhail Alfimov received his PhD at Ecole Normale Superieure Paris in 2018 under the supervision of Prof. Vladimir Kazakov and Prof. Gregory Korchemsky. Currently he is an Associate Professor at the HSE University and Moscow Engineering-Physical Institute and a Research Fellow at the P.N. Lebedev Physical Institute of the Russian Academy of Sciences. His research is concentrated on the study of integrable quantum field theories, especially sigma models.