In this talk we present the result of [1] where we slightly modified prescription of the radial pullback formalism proposed previously by R. Manvelyan, R. Mkrtchyan and W. Rühl in 2012 [2]. We succeeded to solve all necessary recurrence relations to finalize full radial pullback of the main term of cubic self-interaction for higher spin gauge fields in Fronsdal’s formulation from flat to one dimension less \(Ad{{S}_{{d + 1}}}\) space. Nontrivial solutions of recurrence relations lead to the possibility to obtain the full set of \(Ad{{S}_{{d + 1}}}\) dimensional interacting terms with all curvature corrections including trace and divergence terms from any interaction term in \(d + 2\) dimensional flat space.

中文翻译：

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关于\（Ad {{S} _ {{d + 1}}} \）中较高自旋的三次相互作用

在本次演讲中，我们介绍[1]的结果，其中我们略微修改了R. Manvelyan，R。Mkrtchyan和W.Rühl于2012年提出的径向后退形式主义的处方[2]。我们成功地解决了所有必要的 递归关系， 以最终完成Fronsdal公式中较高自旋量场的三次自相互作用主项的完整径向拉回，从平面减小到一维\（Ad {{S} _ {{d + 1} }}\） 空间。递归关系的非平凡解导致可能获得具有所有曲率校正的完整\（Ad {{S} _ {{d + 1}}} \）维相互作用项的集合，包括所有曲率校正中的迹线和散度项。 \（d + 2 \）维平面空间。