G2-invariant 7D Euclidean super Yang-Mills theory as 7-dimensional analogue of 3D super-BF theory

A formulation of N-T = 1, D = 8 Euclidean super Yang-Mills theory with generalized self-duality and reduced Spin (7)-invariance is given which avoids the peculiar extra constraints introduced by Nishino and Rajpoot. Its reduction to seven dimensions leads to the G(2)-invariant N-T = 2, D = 7 super Yang-Mills theory which may be regarded as a higher-dimensional analogue of the N-T = 2, D = 3 super-BF theory. When further reducing that G(2)-invariant theory to three dimensions one gets the N-T = 2 super-BF theory coupled to a spinorial hypermultiplet.