Exact Correlators of Giant Gravitons from dual N=4 SYM
Exact Correlators of Giant Gravitons from dual N=4 SYM
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DOI：
10.4310/atmp.2001.v5.n4.a6
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发表时间：
2001-11
期刊：
影响因子：
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通讯作者：
S. Corley;A. Jevicki;S. Ramgoolam
中科院分区：
文献类型：
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作者：
S. Corley;A. Jevicki;S. Ramgoolam
在N=4SYM理论的零耦合极限下，精确地计算了一类半BPS复合算子的关联函数。它们简单地依赖于四维时空坐标，并与一维矩阵模型中的相关器有关，该模型具有通过在三个球面上降维N=4SYM而得到的复矩阵。一个关键的技术工具是对称群和酉群之间的Frobenius-Schur对偶，结果简单地用U(N)群积分表示，或者等价地用Littlewood-Richardson系数表示。这些关联函数被用来理解$ADS_5\x S^5$上弦理论对偶中巨引力子的存在/性质和相关解。它们的一些性质暗示了在N=4 SYM中的可积性。
A class of correlation functions of half-BPS composite operators are computed exactly (at finite $N$) in the zero coupling limit of N=4 SYM theory. These have a simple dependence on the four-dimensional spacetime coordinates and are related to correlators in a one-dimensional Matrix Model with complex Matrices obtained by dimensional reduction of N=4 SYM on a three-sphere. A key technical tool is Frobenius-Schur duality between symmetric and Unitary groups and the results are expressed simply in terms of U(N) group integrals or equivalently in terms of Littlewood-Richardson coefficients. These correlation functions are used to understand the existence/properties of giant gravitons and related solutions in the string theory dual on $ AdS_5 \times S^5$. Some of their properties hint at integrability in N=4 SYM.