A unified description of particles, strings and branes in Clifford spaces and p-brane/polyparticle duality
Abstract:
It is described how the Extended Relativity Theory in C-spaces (Clifford spaces) allows a unified formulation of point particles, strings, membranes and p-branes, moving in ordinary target spacetime backgrounds, within the description of a single polyparticle moving in C-spaces. The degrees of freedom of the latter are provided by Clifford polyvector-valued coordinates (antisymmetric tensorial coordinates). A correspondence between the p-brane (p-loop) "Schrödinger-like" equations of Ansoldi-Aurilia-Spallucci and the polyparticle wave equation in C-spaces is found via the polyparticle/p-brane correspondence. This correspondence might provide another unexplored avenue to quantize p-branes (a notoriously difficult and unsolved problem) from the more straightforward quantization of the polyparticle in C-spaces, even in the presence of external interactions. We conclude with comments about the compositeness nature of the polyvector-valued coordinate operators in terms of ordinary p-brane coordinates via the evaluation of n-ary commutators.
Año de publicación:
2016
Keywords:
- M-Theory
- n-ary commutators
- Nambu bracket
- Clifford algebras
- Extended Relativity in Clifford Spaces
- polyparticle/p-brane duality
- strings
- Born-Dirac oscillator
- Branes
Fuente:


Tipo de documento:
Article
Estado:
Acceso restringido
Áreas de conocimiento:
- Física
Áreas temáticas:
- Física
- Física moderna