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<p>We give a dual CFT representation of MHV leaf amplitudes in the large <i>N</i> and semiclassical limit in terms of non-compact parafermions and a single affine Kac-Moody current for SO(<i>N</i>). 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 <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26550_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>H</mi> <mn>3</mn> <mo>+</mo> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {H}_3^{+} \)</EquationSource> </InlineEquation> WZW-Liouville correspondence, applied to the SL(2, <i>ℝ</i>)/U(1) coset theory in the spectrally flowed sector.</p>

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MHV leaf amplitudes from parafermions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月25日

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  • Laura Donnay,
  • Gaston Giribet,
  • Beniamino Valsesia

摘要

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.