Off-shell $${\mathcal {N}}=(1,0)$$ linear multiplets in six dimensions

Abstract

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