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 thekey mathematical tool in such generalization.  Using the Wick rotation, we find that in four dimensions such a relation can be establishedno only with the signature (2+2) but also with any signature. We generalize our result to a curved space-time of (2²ⁿ+2²ⁿ)-dimensions and(2²ⁿ⁺¹+2²ⁿ⁺¹)-dimensions.