Comment on the Surface Exponential for Tensor Fields
| dc.creator | Akhmedov, E. T. | |
| dc.creator | Dolotin, V. | |
| dc.creator | Morozov, A. | |
| dc.date | 2005-04-19 | |
| dc.date.accessioned | 2026-07-07T10:45:11Z | |
| dc.date.available | 2026-07-07T10:45:11Z | |
| dc.description | 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 ${\cal E}(B|I|t_γ)$, 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). | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0504160 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0504160 | |
| dc.identifier | JETPLett.81:639-643,2005; PismaZh.Eksp.Teor.Fiz.81:776-779,2005 | |
| dc.identifier | doi:10.1134/1.2034595 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/182838 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Comment on the Surface Exponential for Tensor Fields | |
| dc.type | text |