We provide a tensor calculus for n-number of \({\mathcal {N}}= (1,0)\) linear multiplets in six dimensions. The coupling of linear multiplets is encoded in a function \({\mathcal {F}}_{IJ}\) that is subject to certain constraints. We provide various rigid and local supersymmetric models depending on the choice of the function \({\mathcal {F}}_{IJ}\) and provide an interesting off-diagonal superinvariant, which leads to an \(R^2\) supergravity upon elimination of auxiliary fields.

A preprint version of the article is available at ArXiv.

中文翻译：

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脱壳$$ {\ mathcal {N}} =（1,0）$$ N =（1，0）六个维度上的线性多重

我们为n个数量为6的\（{\ mathcal {N}} =（1,0）\）线性多重数提供张量计算。线性多重峰的耦合被编码在受某些约束的函数\（{\ mathcal {F}} _ {IJ} \）中。我们根据函数\（{\ mathcal {F}} _ {IJ} \）的选择提供各种刚性和局部超对称模型，并提供有趣的非对角超不变性，从而得出\（R ^ 2 \）消除辅助场时产生超重力。

该文章的预印本可从ArXiv获得。