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

TL;DR

This paper extends the connection between Nambu-Goto action and qubit theory to higher dimensions and arbitrary signatures using Cayley hyperdeterminants, including curved spacetimes.

Contribution

It generalizes the relation between Nambu-Goto action and qubit theory to any signature and higher dimensions, utilizing Cayley hyperdeterminants and Wick rotations.

Findings

Relation established in (2+2)-dimensions and arbitrary signatures.

Generalization to curved spacetimes of specific higher dimensions.

Use of Cayley hyperdeterminant as key mathematical tool.

Abstract

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.