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Current algebra formulation of M-theory based on Kac-Moody algebra.
- Source :
-
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics . 2/20/2017, Vol. 32 Issue 5, p-1. 26p. - Publication Year :
- 2017
-
Abstract
- Quantum M-theory is formulated using the current algebra technique. The current algebra is based on a Kac-Moody algebra rather than usual finite dimensional Lie algebra. Specifically, I study the Kac-Moody algebra that was shown recently to contain all the ingredients of M-theory. Both the internal symmetry and the external Lorentz symmetry can be realized inside , so that, by constructing the current algebra of , I obtain both internal gauge theory and gravity theory. The energy-momentum tensor is constructed as the bilinear form of the currents, yielding a system of quantum equations of motion of the currents/fields. Supersymmetry is incorporated in a natural way. The so-called 'field-current identity' is built in and, for example, the gravitino field is itself a conserved supercurrent. One unanticipated outcome is that the quantum gravity equation is not identical to the one obtained from the Einstein-Hilbert action. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0217751X
- Volume :
- 32
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
- Publication Type :
- Academic Journal
- Accession number :
- 121330688
- Full Text :
- https://doi.org/10.1142/S0217751X17500245