The spinors of the group Spin($N$) of rotations in $N$ spacetime dimensions are indexed by a bitcode with [$N$/2] bits. A well-known promising grand unified group that contains the standard-model group is Spin(10). Fermions in the standard model are described by five bits $yzrgb$, consisting of two weak bits $y$ and $z$, and three color bits $r$, $g$, $b$. If a sixth bit $t$ is added, necessary to accommodate a time dimension, then the enlarged Spin(11,1) geometric algebra contains the standard model and Dirac algebras as commuting subalgebras, unifying the four forces of Nature. There is a unique minimal symmetry-breaking chain and associated multiplet of Higgs fields that breaks Spin(11,1) to the standard model. Unification to the Pati-Sa...
Using exceptional generalised geometry, we classify which five-dimensional ${\cal N}=2$ gauged super...
[No abstract available]7226194Aharonov, Y., Susskind, L., Observability of the Sign of Spinors under...
International audienceThis paper aims at explaining that a key to understanding quantum mechanics (Q...
SO(10), or equivalently its covering group Spin(10), is a well-known promising grand unified group t...
We derive the stabiliser group of the four-vector, also known as Wigner's little group, in case of m...
We construct new dispersive sum rules for the effective field theory of the standard model at mass d...
[[abstract]]A simple, but not widely known, mathematical fact concerning the coverings of the full L...
Twenty years ago Cayley's hyperdeterminant, the degree four invariant of the polynomial ring $\mathb...
Seven commuting elements of the Clifford algebra $Cl_{7,7}$ define seven binary eigenvalues that dis...
Whatever dark matter is, it must be one irreducible unitary representation of the extended Lorentz g...
Our search for an appropriate notion of internal space for the fundamental particles starts with the...
The fermionic fields of one generation of the Standard Model (SM), including the Lorentz spinor degr...
A geometric approach to the standard model in terms of the Clifford algebra Cℓ7 is advanced. Th...
I propose the group SL(4,R) as a generalisation of the Dirac group SL(2,C) used in quantum mechanics...
Using the Atiyah-Singer index theorem, we formally compute gravitational anomalies for fermionic hig...
Using exceptional generalised geometry, we classify which five-dimensional ${\cal N}=2$ gauged super...
[No abstract available]7226194Aharonov, Y., Susskind, L., Observability of the Sign of Spinors under...
International audienceThis paper aims at explaining that a key to understanding quantum mechanics (Q...
SO(10), or equivalently its covering group Spin(10), is a well-known promising grand unified group t...
We derive the stabiliser group of the four-vector, also known as Wigner's little group, in case of m...
We construct new dispersive sum rules for the effective field theory of the standard model at mass d...
[[abstract]]A simple, but not widely known, mathematical fact concerning the coverings of the full L...
Twenty years ago Cayley's hyperdeterminant, the degree four invariant of the polynomial ring $\mathb...
Seven commuting elements of the Clifford algebra $Cl_{7,7}$ define seven binary eigenvalues that dis...
Whatever dark matter is, it must be one irreducible unitary representation of the extended Lorentz g...
Our search for an appropriate notion of internal space for the fundamental particles starts with the...
The fermionic fields of one generation of the Standard Model (SM), including the Lorentz spinor degr...
A geometric approach to the standard model in terms of the Clifford algebra Cℓ7 is advanced. Th...
I propose the group SL(4,R) as a generalisation of the Dirac group SL(2,C) used in quantum mechanics...
Using the Atiyah-Singer index theorem, we formally compute gravitational anomalies for fermionic hig...
Using exceptional generalised geometry, we classify which five-dimensional ${\cal N}=2$ gauged super...
[No abstract available]7226194Aharonov, Y., Susskind, L., Observability of the Sign of Spinors under...
International audienceThis paper aims at explaining that a key to understanding quantum mechanics (Q...