On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limit
Abstract In this note, we compute the higher spin spectrum of U(M) k Chern-Simons theory coupled to N flavours of fundamental fermions, in the limit N ≫ M with the ’t Hooft coupling λM=Nkm $$ {\lambda}_M=\frac{N}{k_m} $$ held fixed, to order M/N. This theory possesses a slightly broken higher spin s...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2018)094 |
| _version_ | 1818991222601023488 |
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| author | V. Guru Charan Shiroman Prakash |
| author_facet | V. Guru Charan Shiroman Prakash |
| author_sort | V. Guru Charan |
| collection | DOAJ |
| description | Abstract In this note, we compute the higher spin spectrum of U(M) k Chern-Simons theory coupled to N flavours of fundamental fermions, in the limit N ≫ M with the ’t Hooft coupling λM=Nkm $$ {\lambda}_M=\frac{N}{k_m} $$ held fixed, to order M/N. This theory possesses a slightly broken higher spin symmetry, and may be of interest from the perspective of higher-spin and non-supersymmetric holography. We find that anomalous dimensions of the higher spin currents achieve a finite value at strong coupling λ M → ∞, which grows with spin as log s for large s, as expected for gauge theories. |
| first_indexed | 2024-12-20T20:06:50Z |
| format | Article |
| id | doaj.art-890900b2c63f44dfb021158af2218088 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T20:06:50Z |
| publishDate | 2018-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-890900b2c63f44dfb021158af22180882022-12-21T19:27:56ZengSpringerOpenJournal of High Energy Physics1029-84792018-02-012018212210.1007/JHEP02(2018)094On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limitV. Guru Charan0Shiroman Prakash1Department of Physics and Computer Science, Dayalbagh Educational InstituteDepartment of Physics and Computer Science, Dayalbagh Educational InstituteAbstract In this note, we compute the higher spin spectrum of U(M) k Chern-Simons theory coupled to N flavours of fundamental fermions, in the limit N ≫ M with the ’t Hooft coupling λM=Nkm $$ {\lambda}_M=\frac{N}{k_m} $$ held fixed, to order M/N. This theory possesses a slightly broken higher spin symmetry, and may be of interest from the perspective of higher-spin and non-supersymmetric holography. We find that anomalous dimensions of the higher spin currents achieve a finite value at strong coupling λ M → ∞, which grows with spin as log s for large s, as expected for gauge theories.http://link.springer.com/article/10.1007/JHEP02(2018)0941/N ExpansionChern-Simons TheoriesConformal Field TheoryHigher Spin Symmetry |
| spellingShingle | V. Guru Charan Shiroman Prakash On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limit Journal of High Energy Physics 1/N Expansion Chern-Simons Theories Conformal Field Theory Higher Spin Symmetry |
| title | On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limit |
| title_full | On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limit |
| title_fullStr | On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limit |
| title_full_unstemmed | On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limit |
| title_short | On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limit |
| title_sort | on the higher spin spectrum of chern simons theory coupled to fermions in the large flavour limit |
| topic | 1/N Expansion Chern-Simons Theories Conformal Field Theory Higher Spin Symmetry |
| url | http://link.springer.com/article/10.1007/JHEP02(2018)094 |
| work_keys_str_mv | AT vgurucharan onthehigherspinspectrumofchernsimonstheorycoupledtofermionsinthelargeflavourlimit AT shiromanprakash onthehigherspinspectrumofchernsimonstheorycoupledtofermionsinthelargeflavourlimit |