Large charge operators at large spin from relativistically rotating vortices
Abstract We study the ground states of CFTs with a global U(1) symmetry on ℝ × S 2 in the regime of large charge Q and large angular momentum J, using large charge EFT. We find that in the range Q ≪ J ≪ Q 2, the ground state solution is a superfluid densely populated with vortices rotating at a cons...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-05-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2025)087 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850137502112808960 |
|---|---|
| author | Jaehyeok Choi Eunwoo Lee |
| author_facet | Jaehyeok Choi Eunwoo Lee |
| author_sort | Jaehyeok Choi |
| collection | DOAJ |
| description | Abstract We study the ground states of CFTs with a global U(1) symmetry on ℝ × S 2 in the regime of large charge Q and large angular momentum J, using large charge EFT. We find that in the range Q ≪ J ≪ Q 2, the ground state solution is a superfluid densely populated with vortices rotating at a constant angular velocity Ω. This is a relativistic generalization of the known (non-relativistic) rigid rotation phase, which corresponds to the small Ω limit of our solution. In the regime Q 3/2 ≪ J ≪ Q 2, our solution achieves lower energy than previously identified states. In this regime, most of the vortices move near the speed of light, and we obtain the chiral fluctuation modes propagating at the speed of light. Interestingly, we find that our ground state can be interpreted as a zero temperature charged normal fluid rotating at a constant angular velocity Ω. We rederive this solution purely from the fluid dynamics. Based on the (already established) applicability of fluid description to large non-supersymmetric extremal AdS black holes, we find that the boundary stress tensor and U(1) current of extremal AdS Kerr-Newman black hole align with those of our solution. |
| format | Article |
| id | doaj-art-85d982f08bbc4a2f90f5e592a4cdfcde |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-85d982f08bbc4a2f90f5e592a4cdfcde2025-08-20T02:30:49ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025514010.1007/JHEP05(2025)087Large charge operators at large spin from relativistically rotating vorticesJaehyeok Choi0Eunwoo Lee1Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversityDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchAbstract We study the ground states of CFTs with a global U(1) symmetry on ℝ × S 2 in the regime of large charge Q and large angular momentum J, using large charge EFT. We find that in the range Q ≪ J ≪ Q 2, the ground state solution is a superfluid densely populated with vortices rotating at a constant angular velocity Ω. This is a relativistic generalization of the known (non-relativistic) rigid rotation phase, which corresponds to the small Ω limit of our solution. In the regime Q 3/2 ≪ J ≪ Q 2, our solution achieves lower energy than previously identified states. In this regime, most of the vortices move near the speed of light, and we obtain the chiral fluctuation modes propagating at the speed of light. Interestingly, we find that our ground state can be interpreted as a zero temperature charged normal fluid rotating at a constant angular velocity Ω. We rederive this solution purely from the fluid dynamics. Based on the (already established) applicability of fluid description to large non-supersymmetric extremal AdS black holes, we find that the boundary stress tensor and U(1) current of extremal AdS Kerr-Newman black hole align with those of our solution.https://doi.org/10.1007/JHEP05(2025)087Effective Field TheoriesGlobal SymmetriesField Theory Hydrodynamics |
| spellingShingle | Jaehyeok Choi Eunwoo Lee Large charge operators at large spin from relativistically rotating vortices Journal of High Energy Physics Effective Field Theories Global Symmetries Field Theory Hydrodynamics |
| title | Large charge operators at large spin from relativistically rotating vortices |
| title_full | Large charge operators at large spin from relativistically rotating vortices |
| title_fullStr | Large charge operators at large spin from relativistically rotating vortices |
| title_full_unstemmed | Large charge operators at large spin from relativistically rotating vortices |
| title_short | Large charge operators at large spin from relativistically rotating vortices |
| title_sort | large charge operators at large spin from relativistically rotating vortices |
| topic | Effective Field Theories Global Symmetries Field Theory Hydrodynamics |
| url | https://doi.org/10.1007/JHEP05(2025)087 |
| work_keys_str_mv | AT jaehyeokchoi largechargeoperatorsatlargespinfromrelativisticallyrotatingvortices AT eunwoolee largechargeoperatorsatlargespinfromrelativisticallyrotatingvortices |