| | |
| | |
Stat |
Members: 3645 Articles: 2'500'096 Articles rated: 2609
18 April 2024 |
|
| | | |
|
Article overview
| |
|
W-Geometry from Fedosov's Deformation Quantization | Carlos Castro
; | Date: |
5 Feb 1998 | Journal: | J.Geom.Phys. 33 (2000) 173-190 | Subject: | hep-th | Abstract: | A geometric derivation of $W_infty$ Gravity based on Fedosov’s deformation quantization of symplectic manifolds is presented. To lowest order in Planck’s constant it agrees with Hull’s geometric formulation of classical nonchiral $W_infty$ Gravity. The fundamental object is a ${cal W}$-valued connection one form belonging to the exterior algebra of the Weyl algebra bundle associated with the symplectic manifold. The ${cal W} $-valued analogs of the Self Dual Yang Mills equations, obtained from a zero curvature condition, naturally lead to the Moyal Plebanski equations, furnishing Moyal deformations of self dual gravitational backgrounds associated with the complexified cotangent space of a two dimensional Riemann surface. Deformation quantization of $W_infty$ Gravity is retrieved upon the inclusion of all the $hbar$ terms appearing in the Moyal bracket. Brief comments on Non Commutative Geometry and M(atrix)theory are made. | Source: | arXiv, hep-th/9802023 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |