Comment on the Surface Exponential for Tensor Fields

Details Comment on the Surface Exponential for Tensor Fields Comment on the Surface Exponential for Tensor Fields

2005-04-19

arxiv.org/abs/hep-th/0504160v1

JETPLett.81:639-643,2005; PismaZh.Eksp.Teor.Fiz.81:776-779,2005

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1134/1.2034595

Starting from essentially commutative exponential map $E(B|I)$ for generic tensor-valued 2-forms $B$, introduced in \cite{Akh} as direct generalization of the ordinary non-commutative $P$-exponent for 1-forms with values in matrices (i.e. in tensors of rank 2), we suggest a non-trivial but multi-parametric exponential ${\cal E}(B|I|t_\gamma)$, which can serve as an interesting multi-directional evolution operator in the case of higher ranks. To emphasize the most important aspects of the story, construction is restricted to backgrounds $I_{ijk}$, associated with the structure constants of {\it commutative} associative algebras, what makes it unsensitive to topology of the 2d surface. Boundary effects are also eliminated (straightfoward generalization is needed to incorporate them).

Affiliated with

Also associated with

No associations

Rating

Comment on the Surface Exponential for Tensor Fields 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 Comment on the Surface Exponential for Tensor Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comment on the Surface Exponential for Tensor Fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-39974