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arXiv · 2501.19332

MHV leaf amplitudes from parafermions

Laura Donnay·Gaston Giribet·Beniamino Valsesia
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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 $H_3^+$ WZW-Liouville correspondence, applied to the $SL(2,\mathbb{R})/U(1)$ coset theory in the spectrally flowed sector.

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Laura Donnay, Gaston Giribet, Beniamino Valsesia. 2025-01-31. MHV leaf amplitudes from parafermions. https://arxiv.org/abs/2501.19332

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