New superconformal multiplets and higher derivative invariants in six dimensions

Within the framework of six-dimensional N=(1,0) conformal supergravity, we introduce new off-shell multiplets O⁎(n), where n=3,4,…, and use them to construct higher-rank extensions of the linear multiplet action. The O⁎(n) multiplets may be viewed as being dual to well-known superconformal O(n) multiplets. We provide prepotential formulations for the O(n) and O⁎(n) multiplets coupled to conformal supergravity. For every O⁎(n) multiplet, we construct a higher derivative invariant which is superconformal on arbitrary superconformally flat backgrounds. We also show how our results can be used to construct new higher derivative actions in supergravity.