Back to Search
Start Over
Space, Matter and Interactions in a Quantum Early Universe. Part II: Superalgebras and Vertex Algebras
- Source :
- Symmetry, Vol 13, Iss 2289, p 2289 (2021), Symmetry; Volume 13; Issue 12; Pages: 2289
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
Abstract
- In our investigation on quantum gravity, we introduce an infinite dimensional complex Lie algebra gu that extends e9. It is defined through a symmetric Cartan matrix of a rank 12 Borcherds algebra. We turn gu into a Lie superalgebra sgu with no superpartners, in order to comply with the Pauli exclusion principle. There is a natural action of the Poincaré group on sgu, which is an automorphism in the massive sector. We introduce a mechanism for scattering that includes decays as particular resonant scattering. Finally, we complete the model by merging the local sgu into a vertex-type algebra.
- Subjects :
- Physics and Astronomy (miscellaneous)
Rank (linear algebra)
General Mathematics
MathematicsofComputing_GENERAL
Lie superalgebra
Kac-Moody algebras
Borcherds algebras
early Universe cosmology
vertex algebras
symbols.namesake
Theoretical physics
Pauli exclusion principle
Lie algebra
Computer Science (miscellaneous)
Cartan matrix
QA1-939
GeneralLiterature_REFERENCE(e.g.,dictionaries,encyclopedias,glossaries)
Physics
Automorphism
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
Chemistry (miscellaneous)
Poincaré group
symbols
Quantum gravity
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 13
- Issue :
- 2289
- Database :
- OpenAIRE
- Journal :
- Symmetry
- Accession number :
- edsair.doi.dedup.....ab5afdb7c819cea64312f7a05b15d2ca