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<p>The chiral algebra of 4D <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathcal{N}=4\)</EquationSource> </InlineEquation> SU(<i>N</i>) super-Yang-Mills theory is an <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathcal{N}=4\)</EquationSource> </InlineEquation> superconformal vertex operator algebra. We analyse the structure of this algebra by studying recursively the constraints that are required by the associativity of the operator product expansion. We find that the algebra is uniquely characterized by the central charge (which can take an arbitrary value), without any additional free parameter. Furthermore, the truncation pattern of the OPE coefficients suggests that the algebra cannot arise from the symmetric orbifold.</p>

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Structure of the \(\mathcal{N}=4\) chiral algebra

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月20日

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  • Matthias R. Gaberdiel,
  • Wei Li

摘要

The chiral algebra of 4D \(\mathcal{N}=4\) SU(N) super-Yang-Mills theory is an \(\mathcal{N}=4\) superconformal vertex operator algebra. We analyse the structure of this algebra by studying recursively the constraints that are required by the associativity of the operator product expansion. We find that the algebra is uniquely characterized by the central charge (which can take an arbitrary value), without any additional free parameter. Furthermore, the truncation pattern of the OPE coefficients suggests that the algebra cannot arise from the symmetric orbifold.