Article ID Journal Published Year Pages File Type
1843318 Nuclear Physics B 2006 19 Pages PDF
Abstract
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 [R. Ahl Laamara, L.B. Drissi, E.H. Saidi, D-string fluid in conifold, I: Topological gauge model, Nucl. Phys. B 743 (2006) 333-353; E.H. Saidi, Topological SL(2) gauge theory on conifold, hep-th/0601020] concerning FQH droplets on conifold. Here we focus our attention on the conifold sub-varieties S3 and S2 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 S3 and S2 with filling fraction ν=1k. We show that the ground state of droplets on S3 carries an isospin j=kN(N−1)2 and gives remarkably rise to 2j+1 droplets on S2 with Cartan-Weyl charge |jz|⩽j.
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Physical Sciences and Engineering Mathematics Mathematical Physics
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