BIMSA > Joint HEP-TH Seminar Emergent symmetry and free energy
Emergent symmetry and free energy
Organizers
Hongfei Shu , Rui-Dong Zhu , Hao Zou
Speaker
Ken Kikuchi
Time
Wednesday, September 7, 2022 2:00 PM - 4:00 PM
Venue
1108
Online
Zoom 637 734 0280 (BIMSA)
Abstract
Most of the problems in physics can be summarized as follows; what
happens to ultraviolet symmetry in infrared? One possible answer is
the spontaneous symmetry breaking (SSB). It is well-known that SSB can
be understood via free energy. Another possible answer is an emergence of symmetry. We explain emergent symmetries can also be understood via
free energy. More concretely, focusing on rational conformal field
theories, we answer three questions; i) when symmetries emerge, ii)
why they appear, and iii) what are the structures (including `size')
of emergent symmetries. To achieve the goal, we introduce new
constraints on renormalization group (RG) flows. As a byproduct, we
find discrete quantities can jump under RG flows (`counterexamples' to
the Ocneanu rigidity argument).