On Fractional Quantum Hall Solitons and Chern-Simons Quiver Gauge Theories

الأصل · EN

We investigate a class of hierarchical multiple layers of fractional quantum Hall soliton (FQHS) systems from Chern-Simons quivers embedded in M-theory on the cotangent on a 2-dimensional complex toric variety V², which is dual to type IIA superstring on a 3-dimensional complex manifold CP¹× V² fibered over a real line R. Based on M-theory/Type IIA duality, FQHS systems can be derived from wrapped D4-branes on 2-cycles in CP¹× V² type IIA geometry. In this realization, the magnetic source can be identified with gauge fields obtained from the decomposition of the R-R 3-form on a generic combination of 2-cycles. Using type IIA D-brane flux data, we compute the filling factors for models relying on CP² and the zeroth Hirzebruch surface.