任意高自旋背景下线性化高自旋方程的移位同伦分析
高能物理 - 理论
2023-04-05 v2
摘要
对高自旋方程一阶修正的分析被推广到涉及关于旋量 变量、高自旋联络 的自变量以及高自旋零形式 的自变量的移位参数的同伦算子。结果表明,一种松弛的一致 -移位以及按 自变量的移位尊重自由高自旋方程的正确形式,并构成一个含常规(无移位)同伦所得顶点的单参数顶点类。纯按 自变量的移位被证明在一阶中不影响到一形式高自旋场 ,因此也不影响相应顶点的形式。
引用
@article{arxiv.2212.01908,
title = {Shifted Homotopy Analysis of the Linearized Higher-Spin Equations in Arbitrary Higher-Spin Background},
author = {A. A. Tarusov and K. A. Ushakov and M. A. Vasiliev},
journal= {arXiv preprint arXiv:2212.01908},
year = {2023}
}
备注
24 pages; V2: The analysis is extended to the homotopy shifts dependent on the argument of the higher-spin zero-form $C(Y)$. A relaxed uniform $(y+p)$-shift is shown to respect the free higher-spin equations in $AdS_4$ the same time generating a one-parametric class of pairwise different interacting vertices. Acknowledgement added. Matches the published version