Quarter BPS operators in N = 4 SYM
Quarter BPS operators in N = 4 SYM
复制标题
DOI：
10.1088/1126-6708/2001/11/046
复制
发表时间：
2001-09
影响因子：
5.4
通讯作者：
A. Ryzhov
中科院分区：
文献类型：
--
作者：
A. Ryzhov
在四维规范群SU（N）= 4的Super-Yang-米尔斯理论中构造了被四分之一超荷湮没的手征主算符.这些1/4-BPS算子与以前研究的1/2-BPS算子具有许多非重整化性质。然而，它们的复杂程度更高，这使得它们的构造在完全相互作用理论中变得不平凡。本文计算了SU（4）R-对称群表示中局部、多项式、标量复合算子的（g2）两点函数。通过研究这些两点函数，我们确定了伸缩算子的本征态，这原来是复杂的混合物的单一和多个跟踪运营商。鉴于这个问题的复杂组合，我们集中在两个特殊情况下。首先，我们给出了尺度维数Δ ≤ 7的1/4-BPS算子的显式计算。在这种情况下，讨论适用于规范群的任意N。其次，我们进行了一个领导加上subleading大N分析的特定类别的运营商建成的双和单迹运营商。大N构造解决了一般维度的1/4-BPS运算符。
Chiral primary operators annihilated by a quarter of the supercharges are constructed in the four dimensional = 4 Super-Yang-Mills theory with gauge group SU(N). These 1/4-BPS operators share many non-renormalization properties with the previously studied 1/2-BPS operators. However, they are much more involved, which renders their construction nontrivial in the fully interacting theory. In this paper we calculate (g2) two-point functions of local, polynomial, scalar composite operators within a given representation of the SU(4) R-symmetry group. By studying these two-point functions, we identify the eigenstates of the dilatation operator, which turn out to be complicated mixtures of single and multiple trace operators. Given the elaborate combinatorics of this problem, we concentrate on two special cases. First, we present explicit computations for 1/4-BPS operators with scaling dimension Δ ≤ 7. In this case, the discussion applies to arbitrary N of the gauge group. Second, we carry out a leading plus subleading large N analysis for the particular class of operators built out of double and single trace operators only. The large N construction addresses 1/4-BPS operators of general dimension.