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pro vyhledávání: '"Gresnigt, Niels"'
Autor:
Gourlay, Liam, Gresnigt, Niels
Publikováno v:
Eur. Phys. J. C 84(10), 1129 (2024)
Building on previous work, we extend an algebraic realisation of three fermion generations within the complex Clifford algebra $\mathbb{C}\ell(8)$ by incorporating a $U(1)_{em}$ gauge symmetry. The algebra $\mathbb{C}\ell(8)$ corresponds to the algeb
Externí odkaz:
http://arxiv.org/abs/2407.01580
Autor:
Finster, Felix, Gresnigt, Niels G., Isidro, J. M., Marciano, Antonino, Paganini, Claudio F., Singh, Tejinder P.
Publikováno v:
Fortschr. Phys. 2024, 2400055
We compare the structures and methods in the theory of causal fermion systems with approaches to fundamental physics based on division algebras, in particular the octonions. We find that octonions and, more generally, tensor products of division alge
Externí odkaz:
http://arxiv.org/abs/2403.00360
Publikováno v:
Eur. Phys. J. C 83, 747 (2023)
An algebraic representation of three generations of fermions with $SU(3)_C$ color symmetry based on the Cayley-Dickson algebra of sedenions $\mathbb{S}$ is constructed. Recent constructions based on division algebras convincingly describe a single ge
Externí odkaz:
http://arxiv.org/abs/2306.13098
The quantization of the reduced phase-space of the Einstein-Hilbert action for gravity in $2+1D$ has been shown to bring about the emergence, at the quantum level, of a topological quantum field theory endowed with an $SU_q(2)$ quantum group symmetry
Externí odkaz:
http://arxiv.org/abs/2201.01726
In a topological description of elementary matter proposed by Bilson-Thompson, the leptons and quarks of a single generation, together with the electroweak gauge bosons, are represented as elements of the framed braid group of three ribbons. By ident
Externí odkaz:
http://arxiv.org/abs/2106.01332
Autor:
Marciano, Antonino, Chen, Deen, Fabrocini*, Filippo, Fields, Chris, Greco*, Enrico, Gresnigt, Niels, Jinklub, Krid, Lulli, Matteo, Terzidis, Kostas, Zappala, Emanuele
Our work intends to show that: (1) Quantum Neural Networks (QNN) can be mapped onto spinnetworks, with the consequence that the level of analysis of their operation can be carried out on the side of Topological Quantum Field Theories (TQFT); (2) Deep
Externí odkaz:
http://arxiv.org/abs/2007.00142
Autor:
Gresnigt, Niels G.
We demonstrate a direct correspondence between the basis states of the minimal ideals of the complex Clifford algebras $\mathbb{C}\ell(6)$ and $\mathbb{C}\ell(4)$, shown earlier to transform as a single generation of leptons and quarks under the Stan
Externí odkaz:
http://arxiv.org/abs/2004.11140
Autor:
Gresnigt, Niels G.
Building upon previous works, it is shown that two minimal left ideals of the complex Clifford algebra $\mathbb{C}\ell(6)$ and two minimal right ideals of $\mathbb{C}\ell(4)$ transform as one generation of leptons and quarks under the gauge symmetry
Externí odkaz:
http://arxiv.org/abs/2003.08814
Akademický článek
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Autor:
Gillard, Adam B., Gresnigt, Niels G.
In this paper, the basis states of the minimal left ideals of the complex Clifford algebra $C\ell(8)$ are shown to contain three generations of Standard Model fermion states, with full Lorentzian, right and left chiral, weak isospin, spin, and electr
Externí odkaz:
http://arxiv.org/abs/1906.05102