Journal article
A 2D inspired 4D theory of gravity
Physics letters. B, Vol.336(3), pp.343-346
1994
DOI: 10.1016/0370-2693(94)90543-6
Abstract
Coadjoint orbits of the Virasoro and affine Lie algebras provide geometric actions for matter coupled to gravity and gauge fields in two dimensions. However, the Gauss' law constraints that arise from these actions are not necessarily endemic to two-dimensional topologies. Indeed the constraints associated with Yang-Mills naturally arise from the coadjoint orbit construction of the WZW model. One may in fact use a Yang-Mills theory to provide dynamics to the otherwise fixed coadjoint vectors that define the orbits. In this letter we would like to exhibit an analogue of the Yang-Mills classical action for the diffeomorphism sector. With this analogue one may postulate a 4D theory of gravitation that is related to an underlying two dimensional theory. Instead of quadratic differentials, a (1, 3) pseudo tensor becomes the dynamical variable. We briefly discuss how this tensor may be classically coupled to matter.
Details
- Title: Subtitle
- A 2D inspired 4D theory of gravity
- Creators
- V.G.J Rodgers - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physics letters. B, Vol.336(3), pp.343-346
- DOI
- 10.1016/0370-2693(94)90543-6
- ISSN
- 0370-2693
- eISSN
- 1873-2445
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 1994
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199723202771
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