The \(N=4\) quantum conformal algebra
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Publication:1571941
DOI10.1016/S0550-3213(98)00848-7zbMATH Open0947.81118arXivhep-th/9809192MaRDI QIDQ1571941
Author name not available (Why is that?)
Publication date: 12 July 2000
Published in: (Search for Journal in Brave)
Abstract: We determine the spectrum of currents generated by the operator product expansion of the energy-momentum tensor in N=4 super-symmetric Yang-Mills theory. Up to the regular terms and in addition to the multiplet of the stress tensor, three current multiplets appear, Sigma, Xi and Upsilon, starting with spin 0, 2 and 4, respectively. The OPE's of these new currents generate an infinite tower of current multiplets, one for each even spin, which exhibit a universal structure, of length 4 in spin units, identified by a two-parameter rational family. Using higher spin techniques developed recently for conformal field theories, we compute the critical exponents of Sigma, Xi and Upsilon in the TT OPE and prove that the essential structure of the algebra holds at arbitrary coupling. We argue that the algebra closes in the strongly coupled large- limit. Our results determine the quantum conformal algebra of the theory and answer several questions that previously remained open.
Full work available at URL: https://arxiv.org/abs/hep-th/9809192
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