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

Abstract

Motivated by similarities between quantum Hall systems à la Susskind and aspects of topological string theory on conifold as well as results obtained in hep-th/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 $R\times S^2$ 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.

References in corpus (14)

• Black Hole Attractors and the Topological String
• The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
• Quantum Hall Effect in Higher Dimensions
• Chern-Simons Theory and Topological Strings
• Hartle-Hawking Wave-Function for Flux Compactifications
• Quantum Hall Physics = Noncommutative Field Theory
• Supersymmetric Quantum Hall Effect on Fuzzy Supersphere
• Realizing the Quantum Hall System in String Theory
• Electromagnetic interactions of higher dimensional quantum Hall droplets
• NC Branes and Hierarchies in Quantum Hall Fluids
• D-string fluid in conifold: II. Matrix model for D-droplets on S^{3} and S^{2}
• A Stringy Wave Function for an S^3 Cosmology
• Fractional quantum Hall effect on the two-sphere: a matrix model proposal
• Supersymmetric Embedding of the Quantum Hall Matrix Model

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• Higher spin AdS${}_3$ gravity and Tits-Satake diagrams
• Topological string in harmonic space and correlation functions in $S^3$ stringy cosmology
• Topological SL(2) Gauge Theory on Conifold
• Lax Operator and superspin chains from 4D CS gauge theory
• Embedding Integrable Superspin Chain in String Theory
• On Flavor Symmetry in Lattice Quantum Chromodynamics
• Topological 4D gravity and gravitational defects
• Geometry of the Ground State of Higgs Fields in Next-to-MSSM
• On Exceptional 't Hooft Lines in 4D-Chern-Simons Theory