论文标题

卷发场的一致相互作用

Consistent interactions of Curtright fields

论文作者

Brandt, Friedemann

论文摘要

弯曲场(具有(2,1)年轻图索引对称性的Lorentz张量)的一致自我交织构建在第5和7个维度。其中大多数会改变自由理论的规格变换,但在所有情况下,变形规变量转换的换向器代数仍然是Abelian。所有这些相互作用都包含四个或五个衍生物的Curtright字段中的立方体,这些衍生物分别让人联想到Yang-Mills,Chapline-Manton,Freedman-Townsend和Chern-Simons的相互作用。

Consistent self-interactions of Curtright fields (Lorentz tensors with (2,1) Young diagram index symmetry) are constructed in dimensions 5 and 7. Most of them modify the gauge transformations of the free theory but the commutator algebra of the deformed gauge transformations remains Abelian in all cases. All of these interactions contain terms cubic in the Curtright fields with four or five derivatives, which are reminiscent of Yang-Mills, Chapline-Manton, Freedman-Townsend and Chern-Simons interactions, respectively.

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