arXiv subjects

Norma Susana Mankoč Borštnik

Publications and source records attributed to Norma Susana Mankoč Borštnik.

5 recordsLinked to original sources

arXiv2025

Unified Pati-Salam from Noncommutative Geometry: Overview and Phenomenological Remarks

The lack of clear new-physics signals at the LHC searches motivates models that can guide current and future collider searches. The spectral action principle within the noncommutative geometry (NCG) framework yields such models with distinctive phenomenology. This formalism derives the actions of the Standard Model, General Relativity, and beyond from the underlying algebra, putting them on a common geometric footing. Certain versions of Pati-Salam (PS) models with gauge coupling unification and limited scalar content can be derived from an appropriate noncommutative algebra. In this paper, I review these gauge-coupling-unified Pati-Salam models and discuss their phenomenological aspects, focusing on the $S_1$ scalar leptoquark.

hep-ph↗

arXiv2025

Can the "basis vectors", describing the internal spaces of fermion and boson fields with the Clifford odd (for fermion) and Clifford even (for boson) objects, explain interactions among fields, with gravitons included?

The Clifford odd and even "basis vectors", describing the internal spaces of fermion and boson fields, respectively, offer in even-dimensional spaces, like in $d=(13+1)$, the description of quarks and leptons and antiquarks and antileptons appearing in families, as well as of all the corresponding gauge fields: photons, weak bosons, gluons, Higgs's scalars and the gravitons, which not only explain all the assumptions of the standard model, and makes several predictions, but also explains the existence of the graviton gauge fields. Analysing the properties of fermion and boson fields concerning how they manifest in $d=(3+1)$, assuming space in $d=(3+1)$ flat, while all the fields have non-zero momenta only in $d=(3+1)$, this article illustrates that scattering of fermion and boson fields, with gravitons included, represented by the Feynman diagrams, are determined by the algebraic products of the corresponding "basis vectors" of fields, contributing to scattering. There are two kinds of boson gauge fields appearing in this theory, both contribute when describing scattering. We illustrate, assuming that the internal space, which manifests in $d=(3+1)$ origin in $d=(5+1)$, and in $d=(13+1)$, the annihilation of an electron and positron into two photons, and the scattering of an electron and positron into two muons. The theory offers an elegant and promising illustration of the interaction among fermion and boson second quantised fields.

physics.gen-ph↗

arXiv2023

Clifford odd and even objects in even and odd dimensional spaces describing internal spaces of fermion and boson fields

In a long series of works, it has been demonstrated, that the {\it spin-charge-family} theory offers the explanation for all in the {\it standard model} assumed properties of the second quantized fermion and boson fields, offering several predictions as well as explanations for several of the observed phenomena. The theory assumes a simple starting action in even dimensional spaces with $d \ge (13 +1)$ with massless fermions interacting with gravity only. The internal spaces of fermion and boson fields are described by the Clifford odd and even objects, respectively. This contribution discusses the properties of the fermion and boson fields in odd dimensional spaces, $d=(2n +1)$, with the internal spaces of fermion and boson fields described again by the Clifford odd and even objects, respectively, pointing out that their properties differ essentially from the properties in even dimensional spaces, resembling the ghost needed when looking for final solutions with Feynman diagrams.

hep-th↗

arXiv2022

Clifford odd and even objects offer the description of the internal space of fermions and bosons, respectively, opening new insight into the second quantization of fields

In a long series of works the author has demonstrated that the model named the {\it spin-charge-family} theory offers the explanation for all in the {\it standard model} assumed properties of the fermion and boson fields, as well as for many of their so far observed properties if the space-time is $\ge (13 +1)$ while fermions interact with gravity only. In this paper, I briefly report on the so far achievements of the theory. The main contribution demonstrates the offer of the Clifford odd and even objects for the description of the internal spaces of fermion (Clifford odd) and boson (Clifford even) fields, which is opening up a new understanding of the second quantization postulates for the fermion and boson fields: The "basis vectors" determined by the Clifford odd objects demonstrate all the properties of the internal space of fermions and transfer their anticommutativity to their creation and annihilation operators, while the "basis vectors" determined by the Clifford even objects demonstrate all the properties of the internal space of boson fields and transfer their commutativity to their creation and annihilation operators. The toy model with $d=(5+1)$ illustrates the statements.

physics.gen-ph↗

arXiv2017

The spin-charge-family theory offers understanding of the triangle anomalies cancellation in the standard model

The standard model has for massless quarks and leptons "miraculously" no triangle anomalies due to the fact that the sum of all possible traces $Tr [τ^{Ai}$$ τ^{Bj}$$ τ^{Ck}]$ --- where $τ^{Ai}, τ^{Bi}$ and $τ^{Ck}$ are the generators of one, of two or of three of the groups $SU(3), SU(2)$ and $U(1)$ --- over the representations of one family of the left handed fermions and anti-fermions (and separately of the right handed fermions and anti-fermions), contributing to the triangle currents, is equal to zero. It is demonstrated in this paper that this cancellation of the standard model triangle anomaly follows straightforwardly if the $SO(3,1), SU(2), U(1)$ and $ SU(3)$ are the subgroups of the orthogonal group $SO(13,1)$, as it is in the spin-charge-family theory. We comment on the $SO(10)$ anomaly cancellation, which works if handedness and charges are related "by hand".

hep-ph↗