Abstract (Elsevier)
We establish the existence at the linearized level of a new chiral N =4 extended supergravity theory in six-dimensional spacetime that could couple to the chiral N =4 antisymmetric tensor multiplet. The unique anomaly free combination occurs for 21 of the latter and the spectrum then coincides with the zero-mass sector of the N =2 ten-dimensional chiral supergravity theory compactified on K 3 .