Resolving brane collapse with 1/N corrections in non-Abelian DBI
arXiv:hep-th/0405256 · doi:10.1016/j.nuclphysb.2004.10.012
Abstract
A collapsing spherical D2-brane carrying magnetic flux can be described in the region of small radius in a dual zero-brane picture using Tseytlin's proposal for a non-Abelian Dirac-Born-Infeld action for N D0-branes. A standard large N approximation of the D0-brane action, familiar from the brane dielectric effect, gives a time evolution which agrees with the Abelian D2-brane Born-Infeld equations which describe a D2-brane collapsing to zero size. The first 1/N correction from the symmetrised trace prescription in the zero-brane action leads to a class of classical solutions where the minimum radius of a collapsing D2-brane is lifted away from zero. We discuss the validity of this approximation to the zero-brane action in the region of the minimum, and explore higher order 1/N corrections as well as an exact finite N example. The 1/N corrected Lagrangians and the finite N example have an effective mass squared which becomes negative in some regions of phase space. We discuss the physics of this tachyonic behaviour.
51 pages, 5 figures, LaTeX2e. Version 4: Formulae in Section 8 simplified
References in corpus (39)
- M Theory As A Matrix Model: A Conjecture
- Dielectric-Branes
- Rolling Tachyon
- On non-abelian generalisation of Born-Infeld action in string theory
- Born-Infeld particles and Dirichlet p-branes
- Brane Dynamics From the Born-Infeld Action
- D-branes from M-branes
- D-branes and Short Distances in String Theory
- Spacelike Branes
- A New Cosmological Scenario in String Theory
- Deformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem
- Signatures of Short Distance Physics in the Cosmic Microwave Background
- Fluctuation Spectra of Tilted and Intersecting D-branes from the Born-Infeld Action
- Strings in Time-Dependent Orbifolds
- Instability of Spacelike and Null Orbifold Singularities
- The Noncommutative Bion Core
- On Finite 4D Quantum Field Theory in Non-Commutative Geometry
- On Signatures of Short Distance Physics in the Cosmic Microwave Background
- On spherical harmonics for fuzzy spheres in diverse dimensions
- Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model
- Longitudinal 5-branes as 4-spheres in Matrix theory
- D-Brane Dynamics Near NS5-Branes
- Higher Dimensional Geometries from Matrix Brane constructions
- Hamiltonian Treatment of the Gravitational Collapse of Thin Shells
- Remarks on supersymmetry of quantum systems with position-dependent effective masses
- A Microscopical Description of Giant Gravitons
- Born-Infeld String as a Boundary Conformal Field Theory
- Supersymmetric Brane-Antibrane Configurations
- The non-abelian Born-Infeld action at order F^6
- Null Brane Intersections
- Fuzzy Complex Quadrics and Spheres
- Regularizing Property of the Maximal Acceleration Principle in Quantum Field Theory
- From D-Dbar Pairs to Branes in Motion
- Higher order terms in the non-abelian D-brane effective action and magnetic background fields
- On Bouncing Brane-Worlds, S-branes and Branonium Cosmology
- Generally Covariant Actions for Multiple D-branes
- Curved-space classical solutions of a massive supermatrix model
- Open strings in relativistic ion traps
- Virasoro Algebra for Particles with Higher Derivative Interactions
Cited by in corpus (20)
- IR Inflation from Multiple Branes
- Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
- Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
- DBI N-flation
- Ordering ambiguity versus representation
- Gravitational Wave Constraints on Multi-Brane Inflation
- Finite N effects on the collapse of fuzzy spheres
- Fuzzy Sphere Dynamics and Non-Abelian DBI in Curved Backgrounds
- Fluctuating Fuzzy Funnels
- Noncommutative geometry, Quantum effects and DBI-scaling in the collapse of D0-D2 bound states
- Electrified Fuzzy Spheres and Funnels in Curved Backgrounds
- On Time-dependent Collapsing Branes and Fuzzy Odd-dimensional Spheres
- Large-small dualities between periodic collapsing/expanding branes and brane funnels
- Fundamental weight systems are quantum states
- A complete set of eigenstates for position-dependent massive particles in a Morse-like scenario
- Non Abelian Geometrical Tachyon
- Brane Intersections in the Presence of a Worldvolume Electric Field
- Non-relativistic Matrix Inflation
- A note on non-commutative dynamics of spinning D0 branes
- Effective Action of a Dynamical D-brane with Background Fluxes