On n-point amplitudes in N = 4 SYM
On n-point amplitudes in N = 4 SYM
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关于 N = 4 SYM 中的 n 点振幅
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
T. Tomaras
中科院分区：
文献类型：
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作者：
A. Mironov;A. Morozov;T. Tomaras
在强耦合下，N=4SYM中n点平面振幅的计算可归结为在World-Sheet上寻找渐近增长的可积2dSO(4，2)？-模型的解，以及研究其由破坏可积性和SO(4，2)对称性的正则化引起的Whitham形变.当n=4时，构造了多参数(模)解族。它们都对应于相同的S和t，有些还通过SO(4，2)变换联系在一起。然而，它们通向不同的正则化区域，其最小值是Alday-Maldacena解。文中还简要回顾了关于n点振幅的结果，特别强调了ADS中上述正则化最小面积和沿同一边界的双轮廓积分这两个纯几何量的基本等价性。
The computation of n-point planar amplitudes in N=4 SYM at strong coupling is known to be reduced to the search for solutions of the integrable 2d SO(4,2) ?-model with growing asymptotics on the world-sheet and to the study of their Whitham deformations induced by an -regularization, which breaks both integrability and SO(4,2) symmetry. A multi-parameter (moduli) family of such solutions is constructed for n = 4. They all correspond to the same s and t and some are related by SO(4,2) transformations. Nevertheless, they lead to different regularized areas, whose minimum is the Alday-Maldacena solution. A brief review of results on n-point amplitudes is also provided, with special emphasis on the underlying equivalence of the above regularized minimal area in AdS and a double contour integral along the same boundary, two purely geometric quantities.