The N=4 quantum conformal algebra

被引:74
作者
Anselmi, D [1 ]
机构
[1] Ecole Polytech, Ctr Phys Theor, F-91128 Palaiseau, France
关键词
supersymmetry; anomalies; quantum filed theory; renormalization; renormalization group; composite operators; current algebra; higher-spin fields; higher-spin symmetries; operator product expansion; conformal field theory;
D O I
10.1016/S0550-3213(98)00848-7
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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-N-c limit. Our results determine the quantum conformal algebra of the theory and answer several questions that previously remained open. (C) 1999 Elsevier Science B.V.
引用
收藏
页码:369 / 385
页数:17
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