  We introduce the analytic superspace formalism for six-dimensional $(N,0)$
superconformal field theories. Concentrating on the $(2,0)$ theory we write
down the Ward identities for correlation functions in the theory and show how
to solve them. We then consider the four-point function of four energy momentum
multiplets in detail, explicitly solving the Ward identities in this case. We
expand the four-point function using both Schur polynomials, which lead to a
simple formula in terms of a single function of two variables, and (a
supersymmetric generalisation of) Jack polynomials, which allow a conformal
partial wave expansion. We then perform a complete conformal partial wave
analysis of both the free theory four-point function and the AdS dual
four-point function. We also discuss certain operators at the threshold of the
series a) unitary bound, and prove that some such operators may not develop
anomalous dimensions, by finding selection rules for certain three-point
functions. For those operators which are not protected, we find representations
with which they may combine to become long.
