D-string fluid in conifold, I: Topological gauge model

Laamara, R. Ahl; Drissi, L.B.; Saidi, El Hassan

doi:10.1016/j.nuclphysb.2006.03.016

Cited by 15 publications

(9 citation statements)

References 13 publications

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“…where appears the Levi-Civita ε abc which, as we will see throughout this study, turns out to play an important role in the study of topological field theory [54,55] including solitons and skyrmions we are interested in here [56][57][58][59]. In this regards, notice that, along with this ε abc , we will encounter another completely antisymmetric Levi-Civita tensor namely ε μ 1 … μ D ; it is also due to DM interaction which in lattice description is given by S…”

Section: Quantum Spin 1/2 Operator and Beyondmentioning

confidence: 74%

Magnetic Skyrmions: Theory and Applications

Drissi¹,

Saidi²,

Bousmina³

et al. 2021

Magnetic Skyrmions

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Magnetic skyrmions have been subject of growing interest in recent years for their very promising applications in spintronics, quantum computation and future low power information technology devices. In this book chapter, we use the field theory method and coherent spin state ideas to investigate the properties of magnetic solitons in spacetime while focussing on 2D and 3D skyrmions. We also study the case of a rigid skyrmion dissolved in a magnetic background induced by the spin-tronics; and derive the effective rigid skyrmion equation of motion. We examine as well the interaction between electrons and skyrmions; and comment on the modified Landau-Lifshitz-Gilbert equation. Other issues, including emergent electrodynamics and hot applications for next-generation high-density efficient information encoding, are also discussed.

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Section: Quantum Spin 1/2 Operator and Beyondmentioning

confidence: 74%

Magnetic Skyrmions: Theory and Applications

Drissi¹,

Saidi²,

Bousmina³

et al. 2021

Magnetic Skyrmions

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“…where we have set, the property of giving a unified description of FQH systems on S 3 and S 2 and a priori D-string droplets on conifold which is under investigation in [14]; for a Chern-Simons like description see [13].…”

Section: Classical Field Action On Smentioning

confidence: 99%

“…This study, which is also motivated from the analysis of dynamics of D-string fluid in conifold [12]- [13], is based on a constrained method and deals with the spheres as hypersurfaces in R 4 . The matrix field action modeling the system is built as follows:…”

Section: Introductionmentioning

confidence: 99%

“…In the present paper, we consider an alternative matrix model approach for FQH droplets on the spheres S 3 and S 2 with filling fraction ν. This study, which is also motivated from the analysis of dynamics of D-string fluid in conifold [12]- [13], is based on a constrained method and deals with the spheres as hypersurfaces in R 4 . The matrix field action modeling the system is built as follows:…”

Section: Introductionmentioning

confidence: 99%

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D-string fluid in conifold: II. Matrix model for D-droplets on and

Laamara¹,

Drissi²,

Saidi³

2006

Nuclear Physics B

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Motivated by similarities between Fractional Quantum Hall (FQH) systems and aspects of topological string theory on conifold, we continue in the present paper our previous study (hep-th/0604001, hep-th/0601020) concerning FQH droplets on conifold. Here we focus our attention on the conifold sub-varieties S 3 and S 2 and study the non commutative quantum dynamics of D1 branes wrapped on a circle.We give a matrix model proposal for FQH droplets of N point like particles on S 3 and S 2 with filling fraction ν = 1 k . We show that the ground state of droplets on S 3 carries an isospin j = kand gives remarkably rise to 2j + 1 droplets on S 2 with Cartan-Weyl charge |j z | ≤ j.

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“…In this paper, we use TBM to engineer a board class of lattice QFTs that are based on ADE Lie algebras [21,22] and their basic representations [23,24]. These engineered lattice systems classify the electronic properties of acetylene chain as a su (2) model, graphene as a su (3) lattice model and may have application in other fields; in particular in QFT on non commutative geometry [25,26,27], where space time is viewed as a crystal, and in the special subset of conformal field models based on affine Kac-Moody invariance and vertex operators [28,29,30]. To fix the ideas; let us describe briefly the main lines of the construction in the case of the series A N −1 ≃ su (N) [31] which is generated by (N − 1) commuting Cartan generators h i and N (N − 1) step operators E ±β where the vectors β = β 1 , ..., β N −1 stand for the positive roots of su (N).…”

Section: Introductionmentioning

confidence: 99%

Graphene, Lattice Field Theory and Symmetries

Drissi¹,

Saidi

Bousmina

2011

Journal of Mathematical Physics

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Borrowing ideas from tight binding model, we propose a board class of Lattice QFT models that are classified by the ADE Lie algebras. In the case of A N −1 ≃ su (N ) series, we show that the couplings between the quantum states living at the first nearest neighbor sites of the lattice L su(N ) are governed by the complex fundamental representations N and N of su (N ); and the second nearest neighbor interactions are described by its adjoint N⊗N. The lattice models associated with the leading su (2), su (3) and su (4) cases are explicitly studied and their fermionic field realizations are given. It is also shown that the su(2) and su(3) models describe respectively the electronic properties of the acetylene chain and the graphene. It is established as well that the energy dispersion of the first nearest neighbor couplings is completely determined by the A N roots α through the typical dependence N/2 + roots cos (k.α) with k the wave vector. Other features such as DE extension and other applications are also discussed.

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D-string fluid in conifold, I: Topological gauge model

Cited by 15 publications

References 13 publications

Magnetic Skyrmions: Theory and Applications

Magnetic Skyrmions: Theory and Applications

D-string fluid in conifold: II. Matrix model for D-droplets on and

Graphene, Lattice Field Theory and Symmetries

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