Abstract

LARRAGUIVEL, H.; LOPEZ, G.V.  and  NIETO, J.A.. Nambu-Goto action and classical rebits in any signature and in higher dimensions. Rev. mex. fis. [online]. 2017, vol.63, n.3, pp.214-217. ISSN 0035-001X.

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.

Keywords : Nambu-Goto action; rebit theory; general relativity.

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