论文标题

3D高旋转理论中拓扑和动力学领域的脱离同质方法

Disentanglement of Topological and Dynamical Fields in 3d Higher-Spin Theory within Shifted Homotopy Approach

论文作者

Korybut, A. V., Sevostyanova, A. A., Vasiliev, M. A., Vereitin, V. A.

论文摘要

$ 3D $高旋转理论的一阶方程式的一阶校正源于转移的同型方法,源自生成的非线性HS系统。在扰动理论的第一顺序中,生成系统的解决方案家族的解决方案家族。与直接方法先前发现的解决方案相比,该家族被证明属于不同的辅助类别。相关的共同体学被证明与$ 3D $高旋转方程的物质部门的质量变形相同。

The first-order correction to the one-form sector of equations of the $3d$ higher-spin theory is derived from the generating nonlinear HS system by virtue of the shifted homotopy approach. The family of solutions to the generating system that disentangles equations for dynamical and topological fields in the first order of perturbation theory is found. This family is shown to belong to the different cohomology class compared to the solution found earlier by the direct methods. The related cohomology is shown to be the same as that underlying the mass deformation in the matter sector of $3d$ higher-spin equations.

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