Global symmetries of Yang-Mills squared in various dimensions
| Autor: | Leron Borsten, M. J. Hughes, A. Anastasiou, S. Nagy |
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| Rok vydání: | 2016 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics FOS: Physical sciences Quantitative Biology::Other 01 natural sciences General Relativity and Quantum Cosmology High Energy Physics::Theory 0103 physical sciences FOS: Mathematics Representation Theory (math.RT) 010306 general physics Multiplet Mathematical physics Physics 010308 nuclear & particles physics Direct sum Supergravity High Energy Physics::Phenomenology Mathematics - Rings and Algebras Supersymmetry Global symmetry Tensor product High Energy Physics - Theory (hep-th) Rings and Algebras (math.RA) 83E50 17B25 22E60 Division algebra Mathematics - Representation Theory Maximal compact subgroup |
| Zdroj: | Journal of High Energy Physics |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/jhep01(2016)148 |
| Popis: | Tensoring two on-shell super Yang-Mills multiplets in dimensions $D\leq 10$ yields an on-shell supergravity multiplet, possibly with additional matter multiplets. Associating a (direct sum of) division algebra(s) $\mathbb{D}$ with each dimension $3\leq D\leq 10$ we obtain formulae for the algebras $\mathfrak{g}$ and $\mathfrak{h}$ of the U-duality group $G$ and its maximal compact subgroup $H$, respectively, in terms of the internal global symmetry algebras of each super Yang-Mills theory. We extend our analysis to include supergravities coupled to an arbitrary number of matter multiplets by allowing for non-supersymmetric multiplets in the tensor product. Comment: 25 pages, 2 figures, references added, minor typos corrected, further comments on sec. 2.4 included, updated to match version to appear in JHEP |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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