Non-Abelian phenomena on D-branes

2003/03/31 by Robert C. Myers, Robert C Myers · 44 citations
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Feature (linguistics) #Fuzzy logic #Graviton #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Scalar (mathematics) #Transverse plane #hep-th

paper · pdf · doi:10.1088/0264-9381/20/12/302

published in Classical and Quantum Gravity 20(12), S347-S372 (IOP Publishing) · Lecture at Leuven workshop on ``The quantum structure of spacetime and the geometrical nature of fundamental interactions'' (September 13-19, 2002); ref.'s added

openalex publication_date 2003/05/20 · arxiv created 2003/06/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

A remarkable feature of D-branes is the appearance of a non-Abelian gauge theory in the description of several (nearly) coincident branes. This non-Abelian structure plays an important role in realizing various geometric effects with D-branes. In particular, the branes' transverse displacements are described by matrix-valued scalar fields and so noncommutative geometry naturally appears in this framework. I review the action governing this non-Abelian theory, as well as various related physical phenomena such as the dielectric effect, giant gravitons and fuzzy funnels.

Citations

• String theory and noncommutative geometry
• Non-abelian brane intersections
• D-branes, monopoles and Nahm equations
• Duality in the type-II superstring effective action
• Open strings in background gauge fields
• Super D-branes
• The Spin of the M2-Brane and Spin-Spin Interactions via Probe Techniques
• BPS states of the non-abelian Born–Infeld action
• Non-commutative moduli spaces, dielectric tori and T-duality
• Multiple Dp-branes in weak background fields
• MoreD-brane bound states
• Non-abelian gauge field dynamics on matrix D-branes
• Superstring modifications of Einstein's equations
• Neumann boundary conditions from Born–Infeld dynamics
• Brane dynamics from the Born-Infeld action
• Born-Infeld String as a Boundary Conformal Field Theory
• The Fuzzy Sphere Star-Product and Spin Networks
• Testing the fermionic terms in the non-abelian D-brane effective action through order α′3
• Differential geometry on linear quantum groups
• SUSY and Goliath
• Mtheory as a matrix model: A conjecture
• Noncommutative geometry and Matrix theory

Cited by

• Matrix model maps in AdS/CFT correspondence