Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-10-16
JHEP 0403 (2004) 034
Physics
High Energy Physics
High Energy Physics - Theory
34 pages ; v2, v3- minor typos fixed
Scientific paper
10.1088/1126-6708/2004/03/034
We discuss gauge theories for commutative but non-associative algebras related to the $ SO(2k+1)$ covariant finite dimensional fuzzy $2k$-sphere algebras. A consequence of non-associativity is that gauge fields and gauge parameters have to be generalized to be functions of coordinates as well as derivatives. The usual gauge fields depending on coordinates only are recovered after a partial gauge fixing.The deformation parameter for these commutative but non-associative algebras is a scalar of the rotation group. This suggests interesting string-inspired algebraic deformations of spacetime which preserve Lorentz-invariance.
No associations
LandOfFree
Towards Gauge theory for a class of commutative and non-associative fuzzy spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Towards Gauge theory for a class of commutative and non-associative fuzzy spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards Gauge theory for a class of commutative and non-associative fuzzy spaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-22178