| Speaker: | Dongsheng Ge (Osaka Univ.) |
|---|---|
| Title: | Localized RG flows on composite defects and C-theorem |
| Date (JST): | Tue, Oct 08, 2024, 13:30 - 15:00 |
| Place: | Seminar Room A |
| Related File: | 3247.pdf |
| Abstract: | We consider a composite defect system where a lower-dimensional defect (sub-defect) is embedded to a higher-dimensional one, and examine renormalization group (RG) flows localized on the defect. A composite defect is constructed in the (3 − ϵ)-dimensional free O(N ) vector model with line and surface interactions by triggering localized RG flows to non-trivial IR fixed points. Focusing on the case where the symmetry group O(N ) is broken to a subgroup O(m) × O(N − m) on the line defect, there is an O(N ) symmetric fixed point for all N , while two additional O(N ) symmetry breaking ones appear for N ≥ 23. We also examine a C-theorem for localized RG flows along the sub-defect and show that the C-theorem holds in our model by perturbative calculations. |
