Supersymmetric Embedding of the Quantum Hall Matrix Model

Gates, S. James; Jellal, Ahmed; Saidi, El Hassan; Schreiber, Michael

doi:10.1088/1126-6708/2004/11/075

Cited by 11 publications

(11 citation statements)

References 18 publications

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“…Also, it has been shown that, in the supermatrix model, fluctuations on a fuzzy supersphere yield supersymmetric NC field theories [27]. Besides, some interesting relations between NAC geometry, Landau problems, and QH systems are reported [28][29][30][31]. Specifically, on a fuzzy supersphere, a supersymmetric extension of QH liquid was explicitly constructed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Quantum Hall liquid on a noncommutative superplane

Hasebe

2005

Phys. Rev. D

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Supersymmetric quantum Hall liquids are constructed on a noncommutative superplane. We explore a supersymmetric formalism of the Landau problem. In the lowest Landau level, there appear spinless bosonic states and spin-1/2 down fermionic states, which exhibit a superchiral property. It is shown that the Laughlin wave function and topological excitations have their superpartners. Similarities between supersymmetric quantum Hall systems and bilayer quantum Hall systems are discussed.

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Section: Introductionmentioning

confidence: 99%

Quantum Hall liquid on a noncommutative superplane

Hasebe

2005

Phys. Rev. D

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“…The conformal mechanical models are typically characterized by the inversesquare potential 5 . Inverse-square potential in quantum mechanics is a jewellery box in theoretical physics and mathematics containing black hole physics [65,66,67,68,69,70,71,72,73,74,75,76,77], AdS 2 /CFT 1 correspondence [78,79,80,81,82,83,84,85,86,87], QCD [88,89], quantum Hall effect [90,91], Tomonaga-Luttinger liquid [92], string theory [93,94,95,96,97,98], spin chains [99,100,101,102,103,104,105,106], Efimov effect [107,108,109,110], mesoscopic physics…”

Section: Historical Backgroundmentioning

confidence: 99%

Superconformal Quantum Mechanics from M2-branes

Okazaki

2015

Preprint

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We discuss the superconformal quantum mechanics arising from the M2-branes. We begin with a comprehensive review on the superconformal quantum mechanics and emphasize that conformal symmetry and supersymmetry in quantum mechanics contain a number of exotic and enlightening properties which do not occur in higher dimensional field theories. We see that superfield and superspace formalism is available for N ≤ 8 superconformal mechanical models. We then discuss the M2-branes with a focus on the world-volume descriptions of the multiple M2-branes which are superconformal three-dimensional Chern-Simons matter theories. Finally we argue that the two topics are connected in M-theoretical construction by considering the multiple M2-branes wrapped around a compact Riemann surface and study the emerging IR quantum mechanics. We establish that the resulting quantum mechanics realizes a set of novel N ≥ 8 superconformal quantum mechanical models which have not been reached so far. Also we discuss possible applications of the superconformal quantum mechanics to mathematical physics.

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“…with 10) and ∂ 0 = ξ ∂ ∂ξ = ∂ ∂ ln ξ and where d 3 v is the conifold holomorphic volume measure given by,…”

Section: Classical B Rr -D String Couplingmentioning

confidence: 99%

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

Laamara¹,

Drissi²,

Saidi³

2006

Nuclear Physics B

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Motivated by similarities between quantum Hall systemsà la Susskind and aspects of topological string theory on conifold as well as results obtained in hepth/0601020, we study the dynamics of D-string fluids running in deformed conifold in presence of a strong and constant RR background B-field. We first introduce the basis of D-string system in fluid approximation and then derive the holomorphic non commutative gauge invariant field action describing its dynamics in conifold.This study may be also viewed as embedding Susskind description for Laughlin liquid in type IIB string theory. FQH systems on real manifolds R × S 2 and S 3 are shown to be recovered by restricting conifold to its Lagrangian sub-manifolds.Aspects of quantum behaviour of the string fluid are discussed.

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Supersymmetric Embedding of the Quantum Hall Matrix Model

Cited by 11 publications

References 18 publications

Quantum Hall liquid on a noncommutative superplane

Quantum Hall liquid on a noncommutative superplane

Superconformal Quantum Mechanics from M2-branes

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

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