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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Bibliographic Details
Main Authors: Laura Donnay, Gaston Giribet, Beniamino Valsesia
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP06(2025)234
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Summary: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.
ISSN:1029-8479