TASI Lectures on D-Branes

Abstract

This is an introduction to the properties of D-branes, topological defects in string theory on which string endpoints can live. D-branes provide a simple description of various nonperturbative objects required by string duality, and give new insight into the quantum mechanics of black holes and the nature of spacetime at the shortest distances. The first two thirds of these lectures closely follow the earlier ITP lectures hep-th/9602052, written with S. Chaudhuri and C. Johnson. The final third includes more extensive applications to string duality.

63 Pages, LaTeX, 13 epsf figures, TASI96(d-branes) Small corrections and clarifications. More complete list of early references in section 1.1

References in corpus (4)

• M Theory As A Matrix Model: A Conjecture
• Aspects of Type IIB Theory on ALE Spaces
• Black Holes in String Theory
• Tensors from K3 Orientifolds

Cited by in corpus (338)

• The Hierarchy Problem and New Dimensions at a Millimeter
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Noncommutative Field Theory
• The statistics of string/M theory vacua
• Large and infinite extra dimensions
• D-branes and Deformation Quantization
• Neutrino Masses from Large Extra Dimensions
• Why is the Matrix Model Correct?
• Hawking Radiation and Black Hole Thermodynamics
• Tests of Lorentz invariance: a 2013 update
• Holography and Compactification
• U-duality and M-Theory
• D-particle bound states and generalized instantons
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• A New Cosmological Scenario in String Theory
• Kappa-Symmetry, Supersymmetry and Intersecting Branes
• Toroidal Compactification Without Vector Structure
• Brane Gases in the Early Universe
• Black Holes and Solitons in String Theory
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• D-Branes and Dual Gauge Theories in Type 0 String Theory
• Fluctuation Spectra of Tilted and Intersecting D-branes from the Born-Infeld Action
• Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model
• Gluino Condensate and Magnetic Monopoles in Supersymmetric Gluodynamics
• A remark on the AdS/CFT correspondence and the renormalization group flow
• Branes at Orbifolds versus Hanany Witten in Six Dimensions
• The Noncommutative Bion Core
• Effective Field Theory for a Three-Brane Universe
• Localization of Matters on a String-like Defect
• Lectures on D-branes
• Classical gauge instantons from open strings
• Progress in D-brane model building
• The low energy expansion of the one-loop type II superstring amplitude
• Rapid Asymmetric Inflation and Early Cosmology in Theories with Sub-Millimeter Dimensions
• A Resolution of the Cosmological Singularity with Orientifolds
• Near Horizon Geometry of Rotating Black Holes in Five Dimensions
• TASI Lectures on Solitons
• Three-Pronged Strings and 1/4 BPS States in N=4 Super-Yang-Mills Theory
• More D-brane bound states
• Duality in Integrable Systems and Gauge Theories
• Aspects of N_{T}\geq 2 Topological Gauge Theories and D-Branes
• String Junctions for Arbitrary Lie Algebra Representations
• Synchrotron Radiation from the Crab Nebula Discriminates between Models of Space-Time Foam
• RG Fixed Points in Six Dimensions via Branes at Orbifold Singularities
• Non-abelian Brane Intersections
• Derivative corrections to D-brane actions with constant background fields
• Noncommutative SO(n) and Sp(n) Gauge Theories
• Heterotic Matrix String Theory
• Bound States of D-Branes and the Non-Abelian Born-Infeld Action
• Conformal field theory: a case study
• Supersymmetry and non-Abelian T-duality in type II supergravity
• Consistency Conditions for Brane Worlds in Arbitrary Dimensions
• Scattering of closed strings from many D-branes
• Branes with GUTs and supersymmetry breaking
• Supersymmetric D3 brane action in AdS_5 x S^5
• Interconnections between type II superstrings, M theory and N=4 supersymmetric Yang--Mills
• Singletons, Doubletons and M-theory
• Generalized Conifolds and 4d N=1 SCFT
• Projections in string theory and boundary states for Gepner models
• E_{7(7)} Duality, BPS Black-Hole Evolution and Fixed Scalars
• Gauge Unification in Highly Anisotropic String Compactifications
• Effective potential in non-supersymmetric SU(N) x SU(N) gauge theory and interactions of type 0 D3-branes
• Small representations, string instantons, and Fourier modes of Eisenstein series (with an appendix by D. Ciubotaru and P. Trapa)
• Mixed Boundary Conditions and Brane-String Bound States
• Black Hole Evaporation and Compact Extra Dimensions
• Intersections involving waves and monopoles in eleven dimensions
• D2-branes in B fields
• Branes at Angles and Black Holes
• Lectures on Orientifolds and Duality
• MSSM parameters from supergravity backgrounds
• Euclidean D-branes and higher-dimensional gauge theory
• N=1 supersymmetric sigma model with boundaries, II
• D-branes on some one- and two-parameter Calabi-Yau hypersurfaces
• Scaling Solutions to 6D Gauged Chiral Supergravity
• G/H M-branes and AdS_{p+2} Geometries
• Bosonic Fields in the String-like Defect Model
• Space-Time Foam may Violate the Principle of Equivalence
• Brane Effective Actions, Kappa-Symmetry and Applications
• Branes probing black holes
• A Non-Renormalization Theorem for the d=1, N=8 Vector Multiplet
• Non-commutative world-volume interactions on D-brane and Dirac-Born-Infeld action
• String Creation and Heterotic-Type I' Duality
• Non-Abelian Born-Infeld versus String Theory
• Quantum integrability and functional equations
• Abelian and non-Abelian branes in WZW models and gerbes
• SL(2,Z) duality of Born-Infeld theory from self-dual electrodynamics in 6 dimensions
• Time and space dependent backgrounds from nonsupersymmetric strings
• On Least Action D-Branes
• Supermembranes with Winding
• Adhering 0-branes to 6-branes and 8-branes
• Microfield Dynamics of Black Holes
• Integrability and Canonical Structure of d=2, N=16 Supergravity
• N=1 Dualities of SO and USp Gauge Theories and T-Duality of String Theory
• Models with Extra Dimensions and Their Phenomenology
• On effective actions of BPS branes and their higher derivative corrections
• Aspects of supertubes
• New angles on D-branes
• Dirichlet Topological Defects
• Non-Standard neutral kaons dynamics from D-brane statistics
• More on closed string induced higher derivative interactions on D-branes
• Coupling of branes and normalization of effective actions in string/M-theory
• D=10 super-D9-brane
• Universality in all-order ${\alpha }^{\prime }$ corrections to BPS/non-BPS brane world volume theories
• Covariant Quantization of D-branes
• On higher derivative corrections to Wess-Zumino and Tachyonic actions in type II super string theory
• Mass Hierarchy from Many Domain Walls
• UV Sensitivity in Supersymmetric Large Extra Dimensions: The Ricci-flat Case
• D-branes in Orbifold Singularities and Equivariant K-Theory
• Anomalies of the SO(32) five-brane and their cancellation
• M(atrix) Theory on $T^6$ and a m(atrix) Theory Description of KK Monopoles
• Volkov-Akulov theory and D-branes
• Duality in String Theory
• On the weak gravity conjecture in string theory with broken supersymmetry
• Electrically Charged Vortex Solution in Born-Infeld Theory
• Shedding light on new Wess-Zumino couplings with their corrections to all orders in alpha-prime
• Supergravity Solutions for Localized Intersections of Branes
• On Open String Sigma-Model and Noncommutative Gauge Fields
• Crosscaps, Boundaries and T-Duality
• Monopoles in non-Abelian Dirac-Born-Infeld Theory
• Relativistic Brane Scattering
• Fundamental vs. Solitonic Description of D3 branes
• Orientifolds, RG Flows, and Closed String Tachyons
• Magnetic Interactions of D-branes and Wess-Zumino Terms in Super Yang-Mills Effective Actions
• N=4 supersymmetric Yang-Mills theory and the AdS/SCFT correspondence
• Conformal Algebra and Physical States in Non-critical 3-brane on R*S^3
• On Duality in the Born-Infeld Theory
• Fractons and exotic symmetries from branes
• Moduli Spaces for Four- and Five- Dimensional Black Holes
• A D-brane inspired U(3)_CxU(3)_LxU(3)_R model
• Dynamics of BPS States in the Dirac-Born-Infeld Theory
• Geometric Actions for D-Branes and M-Branes
• Non-threshold D-brane bound states and black holes with non-zero entropy
• Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti-)de Sitter groups
• D0-branes in Gepner models and N=2 black holes
• A Lax Representation for the Born-Infeld Equation
• Topology at the Planck Length
• An orientifold of the solitonic fivebrane
• Gauge Theory Description of D-brane Black Holes: Emergence of the Effective SCFT and Hawking Radiation
• N=2 Extremal Black Holes and Intersecting Branes
• Classical solutions in the Einstein-Born-Infeld-Abelian-Higgs model
• Matrix Theory on ALE Spaces and Wrapped Membranes
• Accidental SUSY: Enhanced Bulk Supersymmetry from Brane Back-reaction
• Matching the BPS Spectra of Heterotic - Type I - Type I' Strings
• Monopoles, Dyons and Theta Term in Dirac-Born-Infeld Theory
• Closed string Ramond-Ramond proposed higher derivative interactions on fermionic amplitudes in IIB
• A note on brane creation
• Correlators of the Global Symmetry Currents of 4D and 6D Superconformal Theories
• Superembeddings, Non-Linear Supersymmetry and 5-branes
• T-duality Covariance of SuperD-branes
• Spectrum of Maxwell-Chern-Simons Theory Realized on Type IIB Brane
• Supersymmetric Extra Dimensions: Gravitino Effects in Selectron Pair Production
• Nonsingular deformations of singular compactifications, the cosmological constant, and the hierarchy problem
• On the stability of open-string orbifold models with broken supersymmetry
• Fractional-Wrapped Branes with Rotation, Linear Motion and Background Fields
• More About Partition Function of Open Bosonic String in Background Fields and String Theory Effective Action
• N=4 super Yang-Mills matrix integrals for almost all simple gauge groups
• D6+D0 and Five Dimensional Spinning Black Hole
• Brane Creation in M(atrix) Theory
• Discrete Symmetries and Localization in a Brane-world
• Bogomol'nyi Bounds and the Supersymmetric Born-Infeld Theory
• An Orbifold of Type 0B Strings and Non-supersymmetric Gauge Theories
• AdS_5 solutions in Einstein--Yang-Mills--Chern-Simons theory
• Heterotic/type I duality, D-instantons and an N=2 AdS/CFT correspondence
• Single Photon Signals for Warped Quantum Gravity at a Linear e+-e- Collider
• Comparing D-branes and Black Holes with 0- and 6-brane Charge
• Field Theoretic Branes and Tachyons of the QCD String
• Wess-Zumino actions and Dirichlet Boundary Conditions for Super p-branes with Exotic Fractions of Supersymmetry
• Integrable boundary interaction in 3D target space: the "pillow-brane" model
• Boundary dynamics in gravitational theories
• Uniqueness of Bogomol'nyi equations and Born-Infeld like supersymmetric theories
• All-Multiplicity One-Loop Amplitudes in Born-Infeld Electrodynamics from Generalized Unitarity
• Quantum Corrections to Generic Branes: DBI, NLSM, and More
• SYM, Chern-Simons, Wess-Zumino Couplings and their higher derivative corrections in IIA Superstring theory
• Myers Effect and Tachyon Condensation
• N=1 Worldsheet Boundary Couplings and Covariance of non-Abelian Worldvolume Theory
• (Non)Commutative Finsler Geometry from String/M--theory
• D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck
• D-branes on Group Manifolds and Deformation Quantization
• Interactions of Eight-branes in String Theory and M(atrix) Theory
• Comments on Dirichlet Branes at Angles
• Solutions of Extended Supersymmetric Matrix Models for Arbitrary Gauge Groups
• Effective Lagrangians for linearized gravity in Randall-Sundrum model
• Brane Actions and String Dualities
• Remarks on the mixed Ramond -Ramond, open string scattering amplitudes of BPS, non-BPS and brane-anti brane
• Supersymmetric Wilson Loops in IIB Matrix Model
• D0-Branes, Constrained Instantons and D=4 Super Yang-Mills Theories
• Mass Deformations of Unoriented Quiver Theories
• Dilute D-Instantons at Finite Temperature
• Electrodynamics On Matrix Space: Non-Abelian By Coordinates
• Do Quarks Obey D-Brane Dynamics? II
• The Cosmological Constant
• Half-Branes, Singular Brane Intersections, and Kaluza-Klein reduction
• Moduli Spaces of D-branes in CFT-backgrounds
• Tunneling of Born-Infeld Strings to D2-Branes
• Bhabha Scattering with Radiated Gravitons at Linear Colliders
• O(N) and USp(N) QCD from String Theory
• Hermitian D-brane solutions
• Intersecting branes and Supersymmetry
• On Mediating Supersymmetry Breaking in D-brane Models
• Free Field Construction of D-branes in N=2 Superconformal Minimal Models
• AdS_2 D-Branes in Lorentzian AdS_3
• D-instantons probing D3-branes and the AdS/CFT correspondence
• Brane Gas Cosmology and Loitering
• Holomorphic Couplings In Non-Perturbative String Compactifications
• A New Mechanism for Trapping of Photon
• On RR Couplings, Singularity Structures and all order ${\alpha }^{\prime }$ contact interactions to BPS String Amplitudes
• Standstill Electric Charge Generates Magnetostatic Field Under Born-Infeld Electrodynamics
• 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
• Recent Developments in String Theory: From Perturbative Dualities to M-Theory
• Free-Field Approach to D-Branes in Gepner Models
• Small Yukawa Couplings from Type I String Theory and the Inflationary Solution to the Strong CP and $\mu$ Problems
• Vertex Operators for Super Yang-Mills and Multi D-Branes in Green-Schwarz Superstring
• Living Inside the Horizon of the D3-Brane
• Analytic tools to brane technology in N=2 gauge theories with matter
• Matrix Models, Complex Geometry and Integrable Systems. II
• Azumaya noncommutative geometry and D-branes - an origin of the master nature of D-branes
• Symplectic reduction of p-form electrodynamics
• Boundary fields and renormalization group flow in the two-matrix model
• Tachyon Condensation and Non-BPS D-branes in a Ramond-Ramond Plane Wave Background
• Large Star/Rose Extra Dimension with Small Leaves/Petals
• Results from an Algebraic Classification of Calabi-Yau Manifolds
• Born-Infeld Action in String Theory
• Compact AdS space, Brane geometry and the AdS/CFT correspondence
• On Relevance Of Matrix Coordinates For The Inside Of Baryons
• A New Approach to the Classical and Quantum Dynamics of Branes
• Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines
• String Theories on Flat Supermanifolds
• Exactly soluble model for self-gravitating D-particles with the wormhole
• A review of the D1/D5 system and five dimensional black hole from supergravity and brane viewpoint
• Non-Linear Realization of ${\aleph }_0$-Extended Supersymmetry
• Holographic time-dependent entanglement entropy in $p$-brane gas geometries
• 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
• Strings for Quantumchromodynamics
• Three Introductory Lectures in Helsinki on Matrix Models of Superstrings
• IIB/M Duality and Longitudinal Membranes in M(atrix) Theory
• D-branes in B Fields
• On the Exotic Phases of M-theory
• Scattering ripples from branes
• Noncommutative Nonlinear Supersymmetry
• Gauge Invariance and Noncommutativity
• Strings, p-Branes and Dp-Branes With Dynamical Tension
• On the relation between effective supersymmetric actions in different dimensions
• One-loop masses of Neumann-Dirichlet open strings and boundary-changing vertex operators
• D-Brane Scattering of N=2 Strings
• Universal Calabi-Yau Algebra: Towards an Unification of Complex Geometry
• Dynamics of D-branes I. The non-Abelian Dirac-Born-Infeld action, its first variation, and the equations of motion for D-branes --- with remarks on the non-Abelian Chern-Simons/Wess-Zumino term
• Bound States of String Networks and D-branes
• Higher-dimensional field theories from type II supergravity
• D0-Branes As Confined Quarks
• Little Theories in Six and Seven Dimensions
• Brane Potentials and Moduli Spaces
• ND Tadpoles as New String States and Quantum Mechanical Particle-Wave Duality from World-Sheet T-Duality
• String Theory and Beyond
• Les Houches lectures on supersymmetric Gauge Theories
• On The Interaction Of D0-Brane Bound States And RR Photons
• Actions for Curved Branes
• A Polynomial First Order Action for the Dirichlet 3-brane
• Localization of Various Bulk Fields on a Brane
• Exactly Soluble Quantum Wormhole in Two Dimensions
• Level Truncation Approach to Open String Field Theory
• String Multiplets from an Invariant 2-Brane
• A D-brane inspired Trinification model
• D-brane annihilation, renormalization-group flow and non-linear $\sigma$-model for the ADHM construction
• Born-Infeld strings in brane worlds
• Vertex operator formulation of scattering around black hole
• A Short Note on Multi-bion Solutions
• D-branes in overcritical electric fields
• M2 to D2 and vice versa by 3-Lie and Lie bialgebra
• More on the admissible condition on differentiable maps $\phi :(X^{Az},E;\nabla )\to Y$ in the construction of the non-Abelian Dirac-Born-Infeld action $S_{DBI}(\phi ,\nabla )$
• Feynman Graphs from D-Particle Dynamics
• Black holes and thermodynamics of non-gravitational theories
• D-Particle Feynman Graphs And Their Amplitudes
• Dynamics of D-brane Black Holes
• Black holes and the phases of brane thermodynamics
• A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of $Z$-semistable Fourier-Mukai transforms from a compact family of nodal curves to a projective Calabi-Yau 3-fold
• Non-BPS Dyons and Branes in the Dirac-Born-Infeld Theory
• General Abelian Orientifold Models and One Loop Amplitudes
• Extended Self-Dual Configurations as Stable Exact Solutions in Born-Infeld Theory
• Our wall as the origin of CP violation
• Proper acceleration, geometric tachyon and dynamics of a fundamental string near D$p$ branes
• Dynamics of D-branes II. The standard action --- an analogue of the Polyakov action for (fundamental, stacked) D-branes
• Yang-Mills Instantons Sitting on a Ricci-flat Worldspace of Double D4-brane
• D-brane Analyses for BPS Mass Spectra and U-duality
• Duality-symmetric Action for Electromagnetic Theory with Electric and Magnetic Sources
• The long-range interactions between branes in diverse dimensions
• BIon Configuration with Fuzzy $S^2$ Structure
• Box Compactification and Supersymmetry Breaking
• Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models
• The D0$-$D8 system revisited
• Kaluza-Klein Reduction in a Warp Geometry Revisited
• D0-brane realizations of the resolution of a reduced singular curve
• Multi-Scale Physics from Multi-Braneworlds
• Remarks on Noncommutative Solitons
• String Physics at the LHC
• D-Branes on Group Manifolds
• Open & Closed vs. Pure Open String One-Loop Amplitudes
• Two-point functions of Neumann-Dirichlet open-string sector moduli
• Reissner-Nordstrom Black Hole in Gravity Localized Models
• Black Hole Thermodynamics in Semi-Classical and Superstring Theory
• Holographic duality and applications
• Lectures on Strings, D-branes and Gauge Theories
• BPS Mass, Dirichlet Boundary Condition, and the Isotropic Coordinate System
• Rigorous treatment of the ${\mathcal{S}}^1/{\mathbb{Z}}_2$ orbifold model with brane-Higgs couplings
• Chirality, D-branes and gauge/string unification
• Coordinate/Field Affinity: A Proposal For Confinement
• Gravity and Large Extra Dimensions
• Antisymmetric Tensor Fields in the Locally Localized Gravity Models
• Thermodynamics of the O(4) linear and nonlinear models within the auxiliary field method
• Remark About T-duality of Dp-Branes
• On the relationship of gravitational constants in KK reduction
• Black Holes: A Window into A New Theory of Space Time
• Gepner-like boundary states on $T^4$
• A note on the interactions of compactified D-branes
• Electromagnetic scattering on D3-brane spikes
• Electrified Higher-Dimensional Brane Intersections
• $N=1$ fermionic D3-branes in RNS formulation I. $C^{\infty }$-Algebrogeometric foundations of $d=4$, $N=1$ supersymmetry, SUSY-rep compatible hybrid connections, and $\hat{D}$-chiral maps from a $d=4$ $N=1$ Azumaya/matrix superspace
• Complexity, chaos and the moving D3-brane
• Black holes and singularities in string theory
• Flux Backgrounds and Exceptional Generalised Geometry
• A Lattice Inspired Model for Monopole Dynamics
• Remarks on self-dual formulation of Born-Infeld-Chern-Simons theory
• Conformal geometric method study open strings and closed strings relationships on Dirichlet branes
• Gravity localisation in a 6-dimensional brane world
• Threebranes in F-theory
• Soft noncommutative schemes via toric geometry and morphisms from an Azumaya scheme with a fundamental module thereto -- (Dynamical, complex algebraic) D-branes on a soft noncommutative space
• Nucleation of p-branes with form fields and dielectric brane
• Branes in Anti de Sitter Space-Time
• Relations between Non-Commutative and Commutative Spacetime
• Electrified Fluctuations in D1$\perp$D3 and D1$\perp$D5 Systems
• Correlation functions of the global E8 symmetry currents in the Heterotic 5-brane theory
• Virtual photon effects in D=3 Born-Infeld theory
• Gaugings and other aspects in supergravity
• Green-Schwarz Superstring Action in Type IIA Supergravity Backgrounds
• D2-brane with RR and NSNS fluxes and its dual M-theory origin
• 4D/3D reduction of dualities: mirrors on the circle
• D-branes and synthetic/$C^{\infty }$-algebraic symplectic/calibrated geometry, I: Lemma on a finite algebraicness property of smooth maps from Azumaya/matrix manifolds
• Strings from large charged fields
• Non-commutative Unification in Brane World