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MHV leaf amplitudes from parafermions

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arxiv 2501.19332 v1 pith:L2IDZVO4 submitted 2025-01-31 hep-th gr-qc

classification hep-thgr-qc
keywords amplitudesleafparafermionsrepresentationtheoryaffineappliedarises
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Worldsheet CFT$_2$ and Celestial CFT$_2$ : An AdS$_3$-CFT$_2$ perspective

    hep-th 2025-06 conditional novelty 6.0 of 10

    A near-boundary scaling limit of AdS/CFT is proposed to produce celestial CFTs, and the long-string sector of string theory on AdS3 is identified as a Lorentz-only celestial CFT2.

  2. Generating Hodges' Graviton MHV Formula with an $Lw_{1+\infty}$ Ward Identity

    hep-th 2025-06 accept novelty 6.0 of 10

    Hodges' all-multiplicity graviton MHV determinant is exactly generated by a one-particle recursion that takes the form of an Lw_{1+∞} Ward identity.

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