Theoretical Physics Wednesday Seminar: Yuta Sekiguchi

  • Date: –15:00
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Å4101
  • Lecturer: Yuta Sekiguchi
  • Contact person: Vladimir Procházka
  • Seminarium

O(d,d) transformations preserve classical integrability

In our recent work [1907.03759], we studied the interplay between the classical integrability of WZNW models and the action of O(d,d) transformations in the doubled formalism. Along this bottom-up approach, by identifying O(d,d)-deformed Lax pairs, we concluded that any O(d,d;R) deformation preserves classical integrability. In this talk, I will start from motivations of studying O(d,d) transformations, or current-current deformations in relation to Yang-Baxter deformations. Then I will review O(d,d;R) deformations as well as the classical integrability of WZNW models. After introducing the doubled sigma model as a useful tool for these deformations, explicit constructions of deformed Lax pairs will be presented using the O(d,d)(-duality) map.