New Couplings of Six-Dimensional Supergravity

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We describe the couplings of six-dimensional supergravity, which contain a self-dual tensor multiplet, to nₜ anti-self-dual tensor matter multiplets, nᵥ vector multiplets and nₕ hypermultiplets. The scalar fields of the tensor multiplets form a coset SO(nₜ,1)/SO(nₜ), while the scalars in the hypermultiplets form quaternionic Kähler symmetric spaces, the generic example being Sp(nₕ,1)/Sp(nₕ)⊗ Sp(1). The gauging of the compact subgroup Sp(nₕ) × Sp(1) is also described. These results generalize previous ones in the literature on matter couplings of N=1 supergravity in six dimensions.