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dc.contributor.author |
Douglas, A. |
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dc.contributor.author |
Repka, J. |
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dc.date.accessioned |
2019-02-10T10:47:44Z |
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dc.date.available |
2019-02-10T10:47:44Z |
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dc.date.issued |
2014 |
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dc.identifier.citation |
The GraviGUT Algebra Is not a Subalgebra of E₈, but E₈ Does Contain an Extended GraviGUT Algebra / A. Douglas, J. Repka // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 13 назв. — англ. |
uk_UA |
dc.identifier.issn |
1815-0659 |
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dc.identifier.other |
2010 Mathematics Subject Classification: 17B05; 17B10; 17B20; 17B25; 17B81 |
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dc.identifier.other |
DOI:10.3842/SIGMA.2014.072 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/146626 |
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dc.description.abstract |
The (real) GraviGUT algebra is an extension of the spin(11,3) algebra by a 64-dimensional Lie algebra, but there is some ambiguity in the literature about its definition. Recently, Lisi constructed an embedding of the GraviGUT algebra into the quaternionic real form of E₈. We clarify the definition, showing that there is only one possibility, and then prove that the GraviGUT algebra cannot be embedded into any real form of E₈. We then modify Lisi's construction to create true Lie algebra embeddings of the extended GraviGUT algebra into E₈ We classify these embeddings up to inner automorphism. |
uk_UA |
dc.description.sponsorship |
The work of A.D. is partially supported by a research grant from the
Professional Staf f Congress/ City University of New York (PSC/CUNY). The work of J.R. is
partially supported by the Natural Sciences and Engineering Research Council (NSERC). The
authors would also like to thank the anonymous referees for valuable comments. |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Symmetry, Integrability and Geometry: Methods and Applications |
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dc.title |
The GraviGUT Algebra Is not a Subalgebra of E₈, but E₈ Does Contain an Extended GraviGUT Algebra |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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