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arxiv: 1603.05943 · v1 · pith:WGFJDGGEnew · submitted 2016-03-18 · 🌀 gr-qc

Nanbu-Goto action and qubit theory in any signature and higher dimensions

classification 🌀 gr-qc
keywords dimensionsactionqubitrelationsignaturetheorycayleycourse
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We perform an extension of the relation between the Nambu-Goto action and qubit theory. 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 in (2+2)-dimensions but also in 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.

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