Nambu-Goto action and classical rebits in any signature and in higher dimensions

Abstract We perform an extension of the relation between the Nambu-Goto action and classical rebits. Of course, the Cayley hyperdeterminant is the key mathematical tool in such generalization. Using the Wick rotation, we find that in four dimensions such a relation can be established no only with the signature (2+2) but also with any signature. We generalize our result to a curved space-time of (2 2n +2 2n )-dimensions and (2 2n+1 +2 2n+1 )-dimensions.