Zobrazeno 1 - 10
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pro vyhledávání: '"HUGHES, M. J."'
Autor:
Furey, N., Hughes, M. J.
We identify the Standard Model's $\mathfrak{su}(3)\oplus \mathfrak{su}(2)\oplus \mathfrak{u}(1)$ internal symmetries within the triality symmetries $\mathfrak{tri}(\mathbb{C}) \oplus \mathfrak{tri}(\mathbb{H}) \oplus \mathfrak{tri}(\mathbb{O})$. From
Externí odkaz:
http://arxiv.org/abs/2409.17948
Autor:
Furey, N., Hughes, M. J.
Publikováno v:
Phys. Lett. B, 831 (2022)
Reframing certain well-known particle models in terms of normed division algebras leads to two new results for BSM physics. (1) We identify a sequence of complex structures which induces a cascade of breaking symmetries: Spin(10) $\mapsto$ Pati-Salam
Externí odkaz:
http://arxiv.org/abs/2210.10126
Autor:
Furey, N., Hughes, M. J.
Publikováno v:
Phys. Lett. B, 827 (2022)
Peering in from the outside, $\mathbb{A} := \mathbb{R}\otimes\mathbb{C}\otimes\mathbb{H}\otimes\mathbb{O}$ looks to be an ideal mathematical structure for particle physics. It is 32 $\mathbb{C}$-dimensional: exactly the size of one full generation of
Externí odkaz:
http://arxiv.org/abs/2209.13016
Publikováno v:
Phys. Rev. D 96, 026013 (2017)
We consider `twin supergravities' - pairs of supergravities with $\mathcal{N}_+$ and $\mathcal{N}_-$ supersymmetries, $\mathcal{N}_+>\mathcal{N}_-$, with identical bosonic sectors - in the context of tensoring super Yang-Mills multiplets. It is demon
Externí odkaz:
http://arxiv.org/abs/1610.07192
Publikováno v:
JHEP 1601 (2016) 148
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\l
Externí odkaz:
http://arxiv.org/abs/1502.05359
Autor:
Anastasiou, A., Hughes, M. J.
We formulate D=11 supergravity over the octonions by rewriting 32-component Majorana spinors as 4-component octonionic spinors. Dimensional reduction to D=4 and D=3 suggests an interpretation of the so-called 'dilaton vectors', which parameterise the
Externí odkaz:
http://arxiv.org/abs/1502.02578
Publikováno v:
Transactions of the Royal Historical Society, 2012 Jan 01. 22, 223-270.
Externí odkaz:
https://www.jstor.org/stable/23489668
