Superconformal tensor calculus and matter couplings in six dimensions

Using superconformal tensor calculus we construct general interactions of N = 2, d = 6 supergravity with a tensor multiplet and a number of scalar, vector and linear multiplets. We start from the superconformal algebra which we realize on a 40+40 Weyl multiplet and on several matter multiplets. A special role is played by the tensor multiplet, which cannot be treated as an ordinary matter multiplet, but leads to a second 40+40 version of the Weyl multiplet. We also obtain a 48+48 off-shell formulation of Poincaré supergravity coupled to a tensor multiplet