D-string fluid in conifold: II. Matrix model for D-droplets on imageand image Original Research Article

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 image gauge theory on conifold, hep-th/0601020] concerning FQH droplets on conifold. Here we focus our attention on the conifold sub-varieties image and image 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 image and image with filling fraction image. We show that the ground state of droplets on image carries an isospin image and gives remarkably rise to image droplets on image with Cartan–Weyl charge image.