N=1 Superconformal Symmetry in Four-Dimensional Quantum Field Theory
N=1 Superconformal Symmetry in Four-Dimensional Quantum Field Theory
复制标题
四维量子场论中的 N=1 超共形对称性
DOI：
10.1006/aphy.1998.5893
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发表时间：
1998
影响因子：
3
通讯作者：
H. Osborn
中科院分区：
文献类型：
--
作者：
H. Osborn
研究了 N=1 超共形对称性对四维量子场论的影响。找到了任意自旋准主超场的两点和三点函数的超共形协变表达式，并将其与算子乘积展开联系起来。一般公式专门用于涉及标量超场L（包含全局对称电流）和超电流（包含能量动量张量）的情况。分析了超共形沃德身份的后果。 Li 的三点函数具有独特的完全反对称或对称形式。在后一种情况下，获得了轴异常方程的超空间版本。超电流的三点函数被证明具有两种线性独立的形式。通用表达式的相关系数的线性组合显示为通过沃德恒等式与超流两点函数的尺度相关。给出了两种自由场超共形理论的系数，并且还与超重力背景的超流异常中存在的参数相关。讨论了甚至在三点函数中也是可能的超共形不变量。
The implications of N=1 superconformal symmetry for four dimensional quantum field theories are studied. Superconformal covariant expressions for two- and three-point functions of quasi-primary superfields of arbitrary spin are found and connected with the operator product expansion. The general formulae are specialised to cases involving a scalar superfieldL, which contains global symmetry currents, and the supercurrent, which contains the energy momentum tensor. The consequences of superconformal Ward identities are analysed. The three-point function ofLis shown to have unique completely antisymmetric or symmetric forms. In the latter case the superspace version of the axial anomaly equation is obtained. The three-point function for the supercurrent is shown to have two linearly independent forms. A linear combination of the associated coefficients for the general expression is shown to be related to the scale of the supercurrent two-point function through Ward identities. The coefficients are given for the two free field superconformal theories and are also connected with the parameters present in the supercurrent anomaly for supergravity backgrounds. Superconformal invariants, which are possible even in three-point functions, are discussed.