Coupled minimal conformal field theory models revisited
We study coupled unitary Virasoro minimal models in the large rank ( m → ∞ ) limit. In large m perturbation theory, we find two nontrivial IR fixed points which exhibit irrational coefficients in several anomalous dimensions and the central charge. For N > 4 copies, we show that the IR theory...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
American Physical Society
2023
|
| _version_ | 1826309517633126400 |
|---|---|
| author | Antunes, A Behan, C |
| author_facet | Antunes, A Behan, C |
| author_sort | Antunes, A |
| collection | OXFORD |
| description | We study coupled unitary Virasoro minimal models in the large rank (
m
→
∞
) limit. In large
m
perturbation theory, we find two nontrivial IR fixed points which exhibit irrational coefficients in several anomalous dimensions and the central charge. For
N
>
4
copies, we show that the IR theory breaks all possible currents that would otherwise enhance the Virasoro algebra, up to spin 10. This provides strong evidence that the IR fixed points are examples of compact, unitary, irrational conformal field theories with the minimal amount of chiral symmetry. We also analyze anomalous dimension matrices for a family of degenerate operators with increasing spin. These display further evidence of irrationality and begin to reveal the form of the leading quantum Regge trajectory. |
| first_indexed | 2024-03-07T07:36:55Z |
| format | Journal article |
| id | oxford-uuid:c0096182-2eba-4203-9462-9e32d6595a82 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:36:55Z |
| publishDate | 2023 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:c0096182-2eba-4203-9462-9e32d6595a822023-03-13T10:04:58ZCoupled minimal conformal field theory models revisitedJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c0096182-2eba-4203-9462-9e32d6595a82EnglishSymplectic ElementsAmerican Physical Society2023Antunes, ABehan, CWe study coupled unitary Virasoro minimal models in the large rank ( m → ∞ ) limit. In large m perturbation theory, we find two nontrivial IR fixed points which exhibit irrational coefficients in several anomalous dimensions and the central charge. For N > 4 copies, we show that the IR theory breaks all possible currents that would otherwise enhance the Virasoro algebra, up to spin 10. This provides strong evidence that the IR fixed points are examples of compact, unitary, irrational conformal field theories with the minimal amount of chiral symmetry. We also analyze anomalous dimension matrices for a family of degenerate operators with increasing spin. These display further evidence of irrationality and begin to reveal the form of the leading quantum Regge trajectory. |
| spellingShingle | Antunes, A Behan, C Coupled minimal conformal field theory models revisited |
| title | Coupled minimal conformal field theory models revisited |
| title_full | Coupled minimal conformal field theory models revisited |
| title_fullStr | Coupled minimal conformal field theory models revisited |
| title_full_unstemmed | Coupled minimal conformal field theory models revisited |
| title_short | Coupled minimal conformal field theory models revisited |
| title_sort | coupled minimal conformal field theory models revisited |
| work_keys_str_mv | AT antunesa coupledminimalconformalfieldtheorymodelsrevisited AT behanc coupledminimalconformalfieldtheorymodelsrevisited |