Localized RG flows on composite defects and C $$ \mathcal{C} $$ -theorem
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 an...
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2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)012 |
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| author | Dongsheng Ge Tatsuma Nishioka Soichiro Shimamori |
| author_facet | Dongsheng Ge Tatsuma Nishioka Soichiro Shimamori |
| author_sort | Dongsheng Ge |
| collection | DOAJ |
| description | 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 $$ \mathcal{C} $$ -theorem for localized RG flows along the sub-defect and show that the C $$ \mathcal{C} $$ -theorem holds in our model by perturbative calculations. |
| format | Article |
| id | doaj-art-89f5653e8c314b47965b2b39520f736e |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-89f5653e8c314b47965b2b39520f736e2025-02-09T12:08:27ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025213410.1007/JHEP02(2025)012Localized RG flows on composite defects and C $$ \mathcal{C} $$ -theoremDongsheng Ge0Tatsuma Nishioka1Soichiro Shimamori2Department of Physics, Osaka UniversityDepartment of Physics, Osaka UniversityDepartment of Physics, Osaka UniversityAbstract 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 $$ \mathcal{C} $$ -theorem for localized RG flows along the sub-defect and show that the C $$ \mathcal{C} $$ -theorem holds in our model by perturbative calculations.https://doi.org/10.1007/JHEP02(2025)012Field Theories in Higher DimensionsRenormalization Group |
| spellingShingle | Dongsheng Ge Tatsuma Nishioka Soichiro Shimamori Localized RG flows on composite defects and C $$ \mathcal{C} $$ -theorem Journal of High Energy Physics Field Theories in Higher Dimensions Renormalization Group |
| title | Localized RG flows on composite defects and C $$ \mathcal{C} $$ -theorem |
| title_full | Localized RG flows on composite defects and C $$ \mathcal{C} $$ -theorem |
| title_fullStr | Localized RG flows on composite defects and C $$ \mathcal{C} $$ -theorem |
| title_full_unstemmed | Localized RG flows on composite defects and C $$ \mathcal{C} $$ -theorem |
| title_short | Localized RG flows on composite defects and C $$ \mathcal{C} $$ -theorem |
| title_sort | localized rg flows on composite defects and c mathcal c theorem |
| topic | Field Theories in Higher Dimensions Renormalization Group |
| url | https://doi.org/10.1007/JHEP02(2025)012 |
| work_keys_str_mv | AT dongshengge localizedrgflowsoncompositedefectsandcmathcalctheorem AT tatsumanishioka localizedrgflowsoncompositedefectsandcmathcalctheorem AT soichiroshimamori localizedrgflowsoncompositedefectsandcmathcalctheorem |