What Is E8 Good For? #PaCE1
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We give an overview of the utilization of E8 in theoretical physics for applications to unified field theory. Concepts such as Lie groups, root systems, and exceptional Lie groups are introduced. A brief overview of spacetime symmetries for gravity and gauge symmetries for the standard model and beyond is provided. A history of exceptional Lie groups in physics is provided, with a highlight on the work stemming from Feza Gursey and his doctoral students. E8 grand unified theory, Garrett Lisi’s E8 model, and E8 x E8 heterotic string theory are briefly reviewed. We conclude by discussing recent advances in applications of E8 to unified field theory.
This video was created as a submission to Curt’s contest @TheoriesofEverything.
Find out more about emergence theory & E8 at https://quantumgravityresearch.org/
For more research on the subject matter:
Exceptional groups for GUTs and remarks on octonions – Feza Gürsey: https://doi.org/10.1063/1.32989
On tumbling E8 – Mehmet Koca: https://www.sciencedirect.com/science/article/abs/pii/0370269381911503?via%3Dihub
A universal gauge theory model based on E6 – F. Gürsey, P.Ramond, P.Sikivie: https://www.sciencedirect.com/science/article/abs/pii/0370269376904172?via%3Dihub
Quark structure and octonions – Murat Günaydin and Feza Gürsey: https://doi.org/10.1063/1.1666240
EFFECTIVE OCTONIONIC SUPERSYMMETRY IN HADRONIC PHYSICS – CATTO, SULTAN MEHMET: https://www.proquest.com/openview/01a79cb1b6e5b9e26da6ce94595183a5/1?pq-origsite=gscholar&cbl=18750&diss=y
Grand Unification with the Exceptional Group E8 – I. Bars and M. Günaydin: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.45.859
Asymptotically supersymmetrical model of a single interaction based on E8 – Konshtein and Fradkin: http://jetpletters.ru/ps/1432/article_21801.pdf
E8 family unification, mirror fermions, and new low-energy physics – S. M. Barr: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.37.204
An octonionic construction of E8 and the Lie algebra magic square – R. A. Wilson, T. Dray, C. A. Manogue: https://arxiv.org/abs/2204.04996v1
An Exceptionally Simple Theory of Everything – A. Garrett Lisi: https://arxiv.org/abs/0711.0770
An Explicit Embedding of Gravity and the Standard Model in E8 – A. Garrett Lisi: https://arxiv.org/abs/1006.4908
Lie Group Cosmology – A. Garrett Lisi: https://arxiv.org/abs/1506.08073
Super Yang-Mills in (11,3) Dimensions – Ergin Sezgin: https://arxiv.org/abs/hep-th/9703123
Evidence for F-Theory – Cumrun Vafa: https://arxiv.org/abs/hep-th/9602022
S-Theory – Itzhak Bars: https://arxiv.org/abs/hep-th/9607112
Geometrical Structures of M-Theory – Emil Martinec: https://arxiv.org/abs/hep-th/9608017
A magic pyramid of supergravities – A. Anastasiou, L. Borsten, M. J. Duff, L. J. Hughes, S. Nagy: https://arxiv.org/abs/1312.6523
Eric Weinstein’s Geometric Unity: https://geometricunity.org/
Krasnov on Spin(7,7): https://pirsa.org/speaker/Kirill-Krasnov
Tony Smith’s website: https://tony5m17h.net/TShome.html
A Clifford algebra-based grand unification program of gravity and the Standard Model: a review study – Carlos Castro Perelman: https://cdnsciencepub.com/doi/10.1139/cjp-2013-0686
THE EXCEPTIONAL E8 GEOMETRY OF CLIFFORD (16) SUPERSPACE AND CONFORMAL GRAVITY YANG–MILLS GRAND UNIFICATION – CARLOS CASTRO PERELMAN: https://www.worldscientific.com/doi/abs/10.1142/S0219887809003588
Octions: An E8 description of the Standard Model – Corinne A. Manogue, Tevian Dray, Robert A. Wilson: https://arxiv.org/abs/2204.05310
An E8⊗E8 unification of the standard model with pre-gravitation, on an octonion-valued twistor space – Priyank Kaushik, Vatsalya Vaibhav, Tejinder P. Singh: https://arxiv.org/abs/2206.06911
There is no “Theory of Everything” inside E8 – Jacques Distler, Skip Garibaldi: https://arxiv.org/abs/0905.2658
Articles by Piero Truini: https://arxiv.org/search/?searchtype=author&query=Truini%2C+P&order=-announced_date_first&size=50&abstracts=show
Beyond the standard model with six-dimensional spacetime – David Chester, Michael Rios, Alessio Marrani: https://arxiv.org/abs/2002.02391
The Geometry of Exceptional Super Yang-Mills Theories – Michael Rios, Alessio Marrani, David Chester: https://arxiv.org/abs/1811.06101#
Conformal Quasicrystals and Holography – Latham Boyle, Madeline Dickens, Felix Flicker: https://arxiv.org/abs/1805.02665
On the Emergence of Spacetime and Matter from Model Sets – Marcelo Amaral, Fang Fang, Raymond Aschheim, Klee Irwin: https://www.preprints.org/manuscript/202111.0359/v2
An Icosahedral Quasicrystal and E8 derived quasicrystals – F. Fang and K. Irwin: https://www.researchgate.net/publication/284788049_An_Icosahedral_Quasicrystal_as_a_Golden_Modification_of_the_Icosagrid_and_its_Connection_to_the_E8_Lattice
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