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Adil Belhaj

Publications and source records attributed to Adil Belhaj.

At least 37 records · Page 2Linked to original sources
arXiv2019

2D Material Structures and Discrete Symmetries of Periodic Polygons

In this work, we reconsider the study of 2D materials involving double lattice structures associated with periodic polygons. In tessellated periodic representation, it appears two periodic polygons of $k$ sides of unequal side lengths at certain angles fixed by the underlying discrete symmetries. In this way, 2D materials could be engineered by using two superstructures on the same atomic sheet generated by two length parameters $a_{1}$ and $a_{2}$ and rotated by the angle $ϕ_{n}^{k}=\frac{nπ}{k}$, where $n$ is an arbitrary natural number. These geometrical configurations could be exploited to engineer 2D materials by doubling the number of the ordinary unit cell atoms. To support the present conjecture, we establish a link with Lie symmetries including finite and indefinite ones providing a room interpretation for $n$.

cond-mat.mtrl-sci↗
arXiv2018

Magnetic Monopoles from a Hidden Magnetic Symmetry

It is proposed that Magnetic Monopoles (MMs) could originate from a new $\mbox{U(1)}_{M}$ symmetry. Such an abelian symmetry is then assumed to be related to the conservation of a magnetic number $M$. This magnetic number is associated with massive MMs from an expected high scale breaking of this magnetic symmetry. The involved scales are approached and the properties of such MMs are investigated along with the prospects for their detection.

physics.gen-ph↗
arXiv2018

Probing New Physics From TXS 0506+056 Blazar Neutrinos

Supported by the recent detection of a TXS 0506+056 blazar neutrino with an energy in the TeV-PeV range detected by the IceCube experiment, a probe of a new physics scale LNP related to high-energy cosmic neutrinos is provided. At Standard Model energies, the effect of the underlying physics LNP is first investigated. Then, the recorded IceCube-170922A data is used to approach the scale of such a new physics which lies under the Grand Unified Theory scale 10^25eV.

hep-ph↗
arXiv2017

Quantum Information and Elementary Particles

Motivated by string theory and standard model physics, we discuss the possibility of other particles-based quantum information. A special attention is put on the consideration of the graviton in light of the gravitational wave detection. This may offer a new take in approaching quantum information using messenger particles. The construction is readily extended to higher dimensional qubits where we speculate on possible connections with open and closed string sectors in terms of quiver and graph theories, respectively. In particular, we reveal that the vectorial qubits could be associated with skeleton diagrams considered as extended quivers.

hep-th↗
arXiv2017

Axions in Type IIA Superstring Theory and Dark Matter

Motivated by the M-theory compactification physics, we study a type IIA superstring quiver model with an open string axion field associated with the U(1)_{PQ} Peccei-Quinn global symmetry using D6-brane physics. This realization extends the symmetry of the SM-Like and contributes to the mediation of the electroweak symmetry breaking. The associated axion energy scales are approached in terms of D2 and D6-branes in type IIA compactifications on Calabi-Yau threeforlds. Using the fermion mass scales as well as string theory results, the allowed axion window is discussed in terms of intersecting D6-branes wrapping 3-cycles belonging to the middle cohomology of the type IIA internal space. The non-perturbative effect of the open string axion sector is dealt with using a D2-brane wrapping a 3-cycle producing (1+3)-dimensional stringy instantons. According to the known data, the vacuum expectation value of the axion and the mass scale of the involved scalar provide a probe of the stringy physics effect in the SM and a possible axionic dark matter candidate.

hep-th↗
arXiv2017

D-brane Standard Model-Like and Scalar Dark Matter in Type IIA Superstring Theory

In light of the present LHC Run II at $\sqrt{s}=13$ $TeV$, string y standard-like model is studied. Concretely, a singlet $S $ scalar-extended SM given in terms four stacks of intersecting D6-branes in a type IIA superstring compactification producing a large gauge symmetry is examined. The involved scales are dealt with. According to the dark matter relic density, the mass of the scalar dark matter beyond the SM $m_{S}\lesssim 10^{3}GeV$ and the corresponding Higgs portal couplings $λ_{SH}\lesssim 10^{-8}$ are approached.

hep-th↗
arXiv2016

Multi-qubits and Polyvalent Singularity in Type II Supestring Theory

Inspired by geometric engineering method, we approach qubit systems in the context of D-branes in type II superstrings. Concretely, we establish a correspondence between such quantum systems and polyvalent singularities appearing in local Calabi-Yau manifolds. First, we examine 1-qubit by considering a D2-brane probing the su(2) toric singularity associated with type IIA monovalent geometry. Then, we discuss the multi-qubits in terms of $n$ factors of su(2) singularities using the Cartan decomposition of non zero roots. Applying mirror symmetry, the 4-qubits are linked to the tetravalent singularity associated with the affine \widehat{so(8)} Lie algebra matching with the ADE-correspondences in the context of quantum information theory. Precisely, these states can be identified with wrapped D4-branes in a Calabi-Yau 4-fold near such a singularity.

hep-th↗
arXiv2016

Weighted Graph Theory Representation of Quantum Information Inspired by Lie Algebras

Borrowing ideas from the relation between simply laced Lie algebras and Dynkin diagrams, a weighted graph theory representation of quantum information is addressed. In this way, the density matrix of a quantum state can be interpreted as a signless Laplacian matrix of an associated graph. Using similarities with root systems of simply laced Lie algebras, one-qubit theory is analyzed in some details and is found to be linked to a non-oriented weighted graph having two vertices. Moreover, this one-qubit theory is generalized to n-qubits. In this representation, quantum gates correspond to graph weight operations preserving the probability condition. A speculation from string theory, via D-brane quivers, is also given.

hep-th↗
arXiv2016

On 750 GeV Diphoton Resonance in Stringy Standard-Like Models

The LHC diphoton excess 750 GeV is discussed in a string-inspired standard-like model. Precisely, a singlet scalar-extended SM from a vacua of four stacks of intersecting D6-branes giving rise to a large gauge symmetry is considered. Besides its relevant couplings to the SM sector, the involved scales allow for a scalar mass near to the reported diphoton excess.

hep-ph↗
arXiv2016

Qubits from Black Holes in M-theory on K3 Surface

Using M-theory compactification, we develop a three factor separation for the scalar submanifold of N=2 seven dimensional supergravity associated with 2-cycles of the K3 surface. Concretely, we give an interplay between the three scalar submanifold factors and the extremal black holes obtained from M2-branes wrapping such 2-cycles. Then, we show that the corresponding black hole charges are linked to one, two and four qubit systems.

hep-th↗
arXiv2015

F-theory and N=1 Quivers from Polyvalent Geometry

We study four dimensional quiver gauge models from F-theory compactified on fourfolds with hyper-Kähler structure. Using intersecting complex toric surfaces, we derive a class of N=1 quivers with charged fundamental matter placed on external nodes. The emphasis is on how local Calabi-Yau equations solve the corresponding physical constraints including the anomaly cancelation condition. Concretely, a linear chain of SU(N) groups with flavor symmetries has been constructed using polyvalent toric geometry.

hep-th↗
arXiv2015

Axion from Quivers in Type II Superstrings

We investigate a string-inspired axion extension of the standard model obtained from Type II superstrings using quiver method. In the first part, we discuss intersecting Type IIA D6-branes wrapping non trivial 3-cycles in the presence of the Peccei-Quinn symmetry U(1)$_{PQ}$. Concretely, a complex scalar field $ϕ=ρexp(\frac{iσ}{f_σ})$, where $σ$ is a closed string axion generates a general fermion Yukawa coupling weighted by a flavor-dependent power $n_{f}$ taking specific values. Using string theory and standard model data, we find that the corresponding axion window is in the allowed range $10^{9}GeV\leq f_σ\leq 10^{12}GeV $ matching with the recent cosmological results. Then, we extend these results to the case of the hyperbolic quiver whose the moduli is related to the stringy axion using root systems of ADE Lie algebras. For the hyperbolic quiver case, we observe that the closed axion decay constant becomes disentangled from the string scale.

hep-th↗
arXiv2015

Exotic Hadrons and Underlying Z_{2,3} Symmetries

The recent observation of higher quark combinations, tetraquarks and pentaquarks, is a strong indication of more exotic hadrons. Using Z_{2} and Z_{3} symmetries and standard model data, a general quark combination producing new hadronic states is proposed in terms of polygon geometries according to the Dynkin diagrams of \widehat{A}_{n} affine Lie algebras. It has been shown that Z_{\mathbf{2,3}} invariance is crucial in the determination of the mesonic or the baryonic nature of these states. The hexagonal geometry is considered in some details producing both mesonic and baryonic states. A general class of this family is also presented.

hep-ph↗
arXiv2015

Toric Geometry and String Theory Descriptions of Qudit Systems

In this paper, we propose a new way to approach qudit systems using toric geometry and related topics including the local mirror symmetry used in the string theory compactification. We refer to such systems as (n,d) quantum systems where $n$ and $d$ denote the number of the qudits and the basis states respectively. Concretely, we first relate the (n,d) quantum systems to the holomorphic sections of line bundles on n dimensional projective spaces CP^{n} with degree n(d-1). These sections are in one-to-one correspondence with d^n integral points on a n-dimensional simplex. Then, we explore the local mirror map in the toric geometry language to establish a linkage between the (n,d) quantum systems and type II D-branes placed at singularities of local Calabi-Yau manifolds. (1,d) and (2,d) are analyzed in some details and are found to be related to the mirror of the ALE space with the A_{d-1} singularity and a generalized conifold respectively.

hep-th↗
arXiv2014

Graph Theory and Qubit Information Systems of Extremal Black Branes

Using graph theory based on Adinkras, we consider once again the study of extremal black branes in the framework of quantum information. More precisely, we propose a one to one correspondence between qubit systems, Adinkras and certain extremal black branes obtained from type IIA superstring compactified on T^n. We accordingly interpret the real Hodge diagram of T^n as the geometry of a class of Adinkras formed by 2^n bosonic nodes representing n qubits. In this graphic representation, each node encodes information on the qubit quantum states and the charges of the extremal black branes built on T^n. The correspondence is generalized to n superqubits associated with odd and even geometries on the real supermanifold T^{n|n}. Using a combinatorial computation, general expressions describing the number of the bosonic and the fermionic states are obtained.

hep-th↗
arXiv2014

Lie symmetries and 2D Material Physics

Inspired from Lie symmetry classification, we establish a correspondence between rank two Lie symmetries and 2D material physics. The material unit cell is accordingly interpreted as the geometry of a root system. The hexagonal cells, appearing in graphene like models, are analyzed in some details and are found to be associated with A_2 and G_2 Lie symmetries. This approach can be applied to Lie supersymmetries associated with fermionic degrees of freedom. It has been suggested that these extended symmetries can offer a new way to deal with doping material geometries. Motivated by Lie symmetry applications in high energy physics, we speculate on a possible connection with (p,q) brane networks used in the string theory compactification on singular Calabi-Yau manifolds.

hep-th↗
arXiv2012

On Hexagonal Structures in Higher Dimensional Theories

We analyze the geometrical background under which many Lie groups relevant to particle physics are endowed with a (possibly multiple) hexagonal structure. There are several groups appearing, either as special holonomy groups on the compactification process from higher dimensions, or as dynamical string gauge groups; this includes groups like SU(2),SU(3), G_2, Spin(7), SO(8) as well as E_8 and SO(32). We emphasize also the relation of these hexagonal structures with the octonion division algebra, as we expect as well eventually some role for octonions in the interpretation of symmetries in High Energy Physics.

hep-th↗