Off-Shell $\mathcal{N}=(1,0)$ Linear Multiplets in Six Dimensions

Abstract

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.

v2., typos fixed, reference added, version appeared in EPJC, 24 pages

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