MHV leaf amplitudes from parafermions
Abstract We give a dual CFT representation of MHV leaf amplitudes in the large N and semiclassical limit in terms of non-compact parafermions and a single affine Kac-Moody current for SO(N). This representation is consistent with the other 2D CFT realization of 4D leaf amplitudes proposed in the lit...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)234 |
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| author | Laura Donnay Gaston Giribet Beniamino Valsesia |
| author_facet | Laura Donnay Gaston Giribet Beniamino Valsesia |
| author_sort | Laura Donnay |
| collection | DOAJ |
| description | Abstract We give a dual CFT representation of MHV leaf amplitudes in the large N and semiclassical limit in terms of non-compact parafermions and a single affine Kac-Moody current for SO(N). This representation is consistent with the other 2D CFT realization of 4D leaf amplitudes proposed in the literature, which is based on a dressed Liouville theory. The equivalence between the two CFT descriptions arises from the H 3 + $$ {H}_3^{+} $$ WZW-Liouville correspondence, applied to the SL(2, ℝ)/U(1) coset theory in the spectrally flowed sector. |
| format | Article |
| id | doaj-art-d07f19a93f764d78866cbd368a451f36 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-d07f19a93f764d78866cbd368a451f362025-08-20T03:04:11ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025611510.1007/JHEP06(2025)234MHV leaf amplitudes from parafermionsLaura Donnay0Gaston Giribet1Beniamino Valsesia2SISSACenter for Cosmology and Particle Physics, Department of Physics, New York UniversitySISSAAbstract We give a dual CFT representation of MHV leaf amplitudes in the large N and semiclassical limit in terms of non-compact parafermions and a single affine Kac-Moody current for SO(N). This representation is consistent with the other 2D CFT realization of 4D leaf amplitudes proposed in the literature, which is based on a dressed Liouville theory. The equivalence between the two CFT descriptions arises from the H 3 + $$ {H}_3^{+} $$ WZW-Liouville correspondence, applied to the SL(2, ℝ)/U(1) coset theory in the spectrally flowed sector.https://doi.org/10.1007/JHEP06(2025)234AdS-CFT CorrespondenceConformal and W SymmetryGauge-Gravity CorrespondenceSpace-Time Symmetries |
| spellingShingle | Laura Donnay Gaston Giribet Beniamino Valsesia MHV leaf amplitudes from parafermions Journal of High Energy Physics AdS-CFT Correspondence Conformal and W Symmetry Gauge-Gravity Correspondence Space-Time Symmetries |
| title | MHV leaf amplitudes from parafermions |
| title_full | MHV leaf amplitudes from parafermions |
| title_fullStr | MHV leaf amplitudes from parafermions |
| title_full_unstemmed | MHV leaf amplitudes from parafermions |
| title_short | MHV leaf amplitudes from parafermions |
| title_sort | mhv leaf amplitudes from parafermions |
| topic | AdS-CFT Correspondence Conformal and W Symmetry Gauge-Gravity Correspondence Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP06(2025)234 |
| work_keys_str_mv | AT lauradonnay mhvleafamplitudesfromparafermions AT gastongiribet mhvleafamplitudesfromparafermions AT beniaminovalsesia mhvleafamplitudesfromparafermions |