A unified description of particles, strings and branes in Clifford spaces and p-brane/polyparticle duality
- Authors
- Castro, Carlos Eduardo
- Format
- Article
- Status
- publishedVersion
- Description
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) ?Schr?dinger-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.
http://inspirehep.net/record/1414130
- Publication Year
- 2015
- Language
- eng
- Topic
- ALGEBRA
CLIFFORD
SPACE-TIME
BACKUGROUND
- Repository
- Repositorio SENESCYT
- Rights
- openAccess
- License
- closedAccess