Nonabelian gauge field and dual description of fuzzy sphere
arXiv:hep-th/0402044 · doi:10.1088/1126-6708/2004/04/058
Abstract
In matrix models, higher dimensional D-branes are obtained by imposing a noncommutative relation to coordinates of lower dimensional D-branes. On the other hand, a dual description of this noncommutative space is provided by higher dimensional D-branes with gauge fields. Fuzzy spheres can appear as a configuration of lower dimensional D-branes in a constant R-R field strength background. In this paper, we consider a dual description of higher dimensional fuzzy spheres by introducing nonabelian gauge fields on higher dimensional spherical D-branes. By using the Born-Infeld action, we show that a fuzzy -sphere and spherical D-branes with a nonabelian gauge field whose Chern character is nontrivial are the same objects when is large. We discuss a relationship between the noncommutative geometry and nonabelian gauge fields. Nonabelian gauge fields are represented by noncommutative matrices including the coordinate dependence. A similarity to the quantum Hall system is also studied.
arXiv comment28 pages
References in corpus (43)
- String Theory and Noncommutative Geometry
- M Theory As A Matrix Model: A Conjecture
- Dielectric-Branes
- Bound States Of Strings And -Branes
- A Large-N Reduced Model as Superstring
- On non-abelian generalisation of Born-Infeld action in string theory
- A Four Dimensional Generalization of the Quantum Hall Effect
- D-branes from M-branes
- Boundary States of D-Branes and Dy-Strings
- Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model
- Quantum Hall Effect in Higher Dimensions
- The Noncommutative Bion Core
- Multiple Dp-branes in Weak Background Fields
- Noncommutative Geometry and Gauge Theory on Fuzzy Sphere
- World-Volume Interactions on D-Branes
- On spherical harmonics for fuzzy spheres in diverse dimensions
- Non-abelian Brane Intersections
- Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model
- Longitudinal 5-branes as 4-spheres in Matrix theory
- The effective action for edge states in higher dimensional quantum Hall systems
- Higher Dimensional Geometries from Matrix Brane constructions
- Higher-Dimensional Quantum Hall Effect in String Theory
- Higher dimensional geometries related to fuzzy odd-dimensional spheres
- Fuzzy Cosets and their Gravity Duals
- Effective Actions of Matrix Models on Homogeneous Spaces
- Formation of Spherical D2-brane from Multiple D0-branes
- p-branes from (p-2)-branes in the Bosonic String Theory
- Non-commutative geometry of 4-dimensional quantum Hall droplet
- Nonabelian Phenomena on D-branes
- Non-Abelian Holonomy of BCS and SDW Quasi-particles
- Quantum Corrections on Fuzzy Sphere
- On the Polarization of Unstable D0-Branes into Non-Commutative Odd Spheres
- On Higher Dimensional Fuzzy Spherical Branes
- Fuzzy Complex Quadrics and Spheres
- Non-Abelian BIonic Brane Intersections
- The shape of nonabelian D-branes
- On Branes and Oriented B-fields
- Matrix dynamics of fuzzy spheres
- Curved-space classical solutions of a massive supermatrix model
- Projective modules over the fuzzy four-sphere
- The Fuzzy S^4 by Quantum Deformation
- Non-commutative branes in D-brane backgrounds
- YM on the dielectric brane: a D0-brane tale
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- Supersymmetric Quantum Hall Effect on Fuzzy Supersphere
- Higher Dimensional Quantum Hall Effect as A-Class Topological Insulator
- Fuzzy Supersphere and Supermonopole
- Dynamical aspects of the fuzzy CP in the large reduced model with a cubic term
- Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
- Quantum Hall Liquid on a Noncommutative Superplane
- Perturbative versus nonperturbative dynamics of the fuzzy S^2*S^2
- Perturbative dynamics of fuzzy spheres at large N
- Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres
- Absence of a fuzzy phase in the dimensionally reduced 5d Yang-Mills-Chern-Simons model
- Finite N effects on the collapse of fuzzy spheres
- Fluctuating Fuzzy Funnels