Four-Loop β-Function for the N = 1 And N = 2 Supersymmetric Non-Linear Sigma Model In Two Dimensions

Four-Loop β-Function for the N = 1 And N = 2 Supersymmetric Non-Linear Sigma Model In Two Dimensions
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N = 1 和 N = 2 二维超对称非线性 Sigma 模型的四环 β 函数

DOI:
10.1016/0370-2693(86)90408-9
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发表时间:
1986
期刊:
影响因子:
4.4
通讯作者:
D. Zanon
D. Zanon
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Grisaru;A. V. D. Ven;D. Zanon

文献摘要

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本文给出了二维N= 1,2超对称非线性σ模型的四圈β函数的超空间计算。结果表明,β函数除了在Ricci平坦流形上为零的单圈贡献外,还具有在Ricci平坦流形上不为零的四圈贡献.超弦的影响进行了讨论。
A superspace calculation of the four-loop β-function is presented for two-dimensional N= 1,2 supersymmetric non-linear σ-models. It is concluded that besides the one-loop contribution which vanishes on Ricci-flat manifolds, the β-function receives four-loop contributions which do not vanish in the Ricci-flat case. Implications for the superstring are discussed.