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

• H. Larraguível ^[2] ; G.V. López ^[2] ; J.A. Nieto ^[1]
  1. [1] Universidad Autónoma de Sinaloa

     Universidad Autónoma de Sinaloa

     México

     
  2. [2] Universidad de Gudalajara, México
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 63, Nº. 3, 2017, págs. 214-217
• Idioma: inglés
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• Resumen

  • 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.