Higher Spin Symmetry and N = 4 SYM
Higher Spin Symmetry and N = 4 SYM
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更高的自旋对称性和 N = 4 SYM
DOI：
10.1088/1126-6708/2004/07/058
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发表时间：
2004
影响因子：
5.4
通讯作者：
H. Samtleben
中科院分区：
文献类型：
--
作者：
N. Beisert;M. Bianchi;J. F. Morales;H. Samtleben
我们将自由N = 4 SU（N）SYM理论中的单迹算子谱组装成高自旋对称代数hs（2，2）的不可约表示|4）。更高的自旋表示或YT-pleton与Young tableaux（YT）相关联，对应于与颜色轨迹的循环性兼容的对称群的表示。在打开相互作用gYM 6 0之后，YT-pleton分解为超共形代数psu（2，2）的表示的无限塔|4）和反常尺寸的产生。本文给出了N = 4超共形代数psu（2，2）的三重子分解|4）并计算了它们在大N时g ~ 2 YMN中最低非平凡阶的反常维数。然后，我们专注于运营商/国家坐在半短多重psu（2，2| 4）。通过将它们通过一个半短筛，除去超后代，我们得到紧凑的表达式的半短原色的配分函数。
We assemble the spectrum of single-trace operators in free N = 4 SU(N) SYM theory into irreducible representations of the Higher Spin symmetry algebra hs(2,2|4). Higher Spin representations or YT-pletons are associated to Young tableaux (YT) corresponding to representations of the symmetric group compatible with the cyclicity of color traces. After turning on interactions gYM 6 0, YT-pletons decompose into infinite towers of representations of the superconformal algebra psu(2,2|4) and anomalous dimensions are generated. We work out the decompositions of tripletons with respect to the N = 4 superconformal algebra psu(2,2|4) and compute their anomalous dimensions to lowest non-trivial order in g 2 YMN at large N. We then focus on operators/states sitting in semishort multiplets of psu(2,2|4). By passing them through a semishort-sieve that removes superdescendants, we derive compact expressions for the partition function of semishort primaries.