Lectures on D-branes, Gauge Theory and M(atrices)

Abstract

These notes give a pedagogical introduction to D-branes and Matrix theory. The development of the material is based on super Yang-Mills theory, which is the low-energy field theory describing multiple D-branes. The main goal of these notes is to describe physical properties of D-branes in the language of Yang-Mills theory, without recourse to string theory methods. This approach is motivated by the philosophy of Matrix theory, which asserts that all the physics of light-front M-theory can be described by an appropriate super Yang-Mills theory.

80 pages LaTeX, 8 figures; lectures presented at Trieste summer school on particle physics and cosmology, June 1997. v2: references added, typo corrected

References in corpus (4)

• Dirichlet-Branes and Ramond-Ramond Charges
• Why is the Matrix Model Correct?
• Gauge Fields and D-branes
• Instantons on D-branes

Cited by in corpus (77)

• Dielectric-Branes
• U-duality and M-Theory
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Introduction to M(atrix) theory and noncommutative geometry
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model
• The Noncommutative Bion Core
• Lectures on D-branes
• Lectures on Generalized Complex Geometry for Physicists
• World-Volume Interactions on D-Branes
• On Low-Energy Effective Actions in N = 2, 4 Superconformal Theories in Four Dimensions
• Loop corrections and graceful exit in string cosmology
• Dualities of the Matrix Model from T-Duality of the Type II String
• D2-branes in B fields
• Brane Effective Actions, Kappa-Symmetry and Applications
• Non-commutative world-volume interactions on D-brane and Dirac-Born-Infeld action
• Non-Abelian Born-Infeld versus String Theory
• Complete N=4 Structure of Low-Energy Effective Action in N=4 Super Yang-Mills Theories
• BPS states on noncommutative tori and duality
• On effective actions of BPS branes and their higher derivative corrections
• Constraints on Higher Derivative Operators in Maximally Supersymmetric Gauge Theory
• Noncommutative Extended Waves and Soliton-like Configurations in N=2 String Theory
• Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
• Matrix Strings in Weakly Curved Background Fields
• More on closed string induced higher derivative interactions on D-branes
• On higher derivative corrections to Wess-Zumino and Tachyonic actions in type II super string theory
• SDLCQ: Supersymmetric Discrete Light Cone Quantization
• Non-Compact Hopf Maps and Fuzzy Ultra-Hyperboloids
• Magnetic Interactions of D-branes and Wess-Zumino Terms in Super Yang-Mills Effective Actions
• Lectures on Matrix Field Theory I
• Closed string Ramond-Ramond proposed higher derivative interactions on fermionic amplitudes in IIB
• The Lorentz force between D0 and D6 branes in string and M(atrix) theory
• Relating branes and matrices
• Wrapped Magnetized Branes: Two Alternative Descriptions?
• Matrix Theory on ALE Spaces and Wrapped Membranes
• Mesonic Spectrum of Two Dimensional Supersymmetric Theories
• D3 Brane(s) in AdS_5 x S^5 and N =4,2,1 SYM
• Dynamics of D1-brane in I-brane Background
• SYM, Chern-Simons, Wess-Zumino Couplings and their higher derivative corrections in IIA Superstring theory
• Myers Effect and Tachyon Condensation
• Conservation of Supergravity Currents from Matrix Theory
• D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck
• Do Quarks Obey D-Brane Dynamics? II
• Supermatrix models for M-theory based on osp(1|32,R)
• Anomalously light mesons in a (1+1)-dimensional supersymmetric theory with fundamental matter
• Gravity and compactified branes in matrix models
• Matrix Representations of Holomorphic Curves on $T_4$
• D-branes and Azumaya/matrix noncommutative differential geometry, I: D-branes as fundamental objects in string theory and differentiable maps from Azumaya/matrix manifolds with a fundamental module to real manifolds
• On the supersymmetric formulation of Unitary Matrix Model of type IIB
• On RR Couplings, Singularity Structures and all order ${\alpha }^{\prime }$ contact interactions to BPS String Amplitudes
• D-Branes in Type IIA and Type IIB Theories from Tachyon Condensation
• Matrix model and noncommutative Chern-Simons theory
• Renormalization of Higher Derivative Operators in the Matrix Model
• Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
• D-branes and Azumaya/matrix noncommutative differential geometry,II: Azumaya/matrix supermanifolds and differentiable maps therefrom -- with a view toward dynamical fermionic D-branes in string theory
• Comment on Multigraviton Scattering in the Matrix Model
• Do Quarks Obey D-Brane Dynamics?
• Symmetries and interactions in matrix string theory
• N D0-branes and antibranes in the background independent string field theory
• Fuzzy Rings in D6-Branes and Magnetic Field Background
• Progress in study of N=4 SYM effective action
• Remark about Non-BPS D-Brane in Type IIA Theory
• Pointlike structure for super p-branes
• D0-branes with non-zero angular momentum
• Type IIB Matrix Theory at Two Loops
• Graviton scattering in an M-orientifold background
• Topological Many-Body States in Quantum Antiferromagnets via Fuzzy Super-Geometry
• Effective Action of a Dynamical D$p$-brane with Background Fluxes
• Remark about string field for general configuration of N D-instantons
• Affine connection representation of gauge fields
• Extending dualities to trialities deepens the foundations of dynamics
• Remark About T-duality of Dp-Branes
• A new picture for 4-dimensional 'spacetime' from intersecting D-branes on the T^9
• NC Calabi-Yau Orbifolds in Toric Varieties with Discrete Torsion
• Quantum reference frames and triality
• Born-Infeld action and Supersymmetry (in spanish)