D-branes and the Noncommutative Torus

Abstract

We show that in certain superstring compactifications, gauge theories on noncommutative tori will naturally appear as D-brane world-volume theories. This gives strong evidence that they are well-defined quantum theories. It also gives a physical derivation of the identification proposed by Connes, Douglas and Schwarz of Matrix theory compactification on the noncommutative torus with M theory compactification with constant background three-form tensor field.

harvmac, 5 pp. Minor error fixed

Cited by in corpus (429)

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• Wilson loops in strongly coupled noncommutative gauge theories
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• On Noncommutative Classical Mechanics
• Deformed Two-Photon Squeezed States in Noncommutative Space
• Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories
• Anomalous C-violating Three Photon Decay of the Neutral Pion in Noncommutative Quantum Electrodynamics
• Violation of the Robertson-Schrödinger uncertainty principle and non-commutative quantum mechanics
• Noncommutative Monopole from Nonlinear Monopole
• UV/IR Mixing in Noncommutative Field Theory via Open String Loops
• A Deformation Quantization Theory for Non-Commutative Quantum Mechanics
• Nielsen-Olesen vortices in noncommutative space
• General covariance of the non-abelian DBI-action
• Complex Gravity and Noncommutative Geometry
• Dynamical symmetries in noncommutative theories
• D=2, N=2, Supersymmetric theories on Non(anti)commutative Superspace
• Phase-space noncommutative extension of the Robertson-Schroedinger formulation of Ozawa's uncertainty principle
• Perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory
• (p + 1)-Dimensional Noncommutative Yang-Mills and D($p-2$) Branes
• On Branes and Oriented B-fields
• A Membrane Action for OM Theory
• Noncommutative String Theory, the R-Matrix, and Hopf Algebras
• Branes and BPS Configurations of Non-Commutative/Commutative Gauge Theories
• Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 2: Spin-zero Duffin-Kemmer-Petiau-like oscillator
• D1/D5 System with B-field, Noncommutative Geometry and the CFT of the Higgs Branch
• Effective descriptions of branes on non-geometric tori
• Coherent States of the Deformed Heisenberg-Weyl Algebra in Noncommutative Space
• Holographic Brownian Motion in Magnetic Environments
• Scaling properties of the perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory
• Instantons in the U(1) Born-Infeld Theory and Noncommutative Gauge Theory
• Worldvolume Uncertainty Relations for D-Branes
• Have we already detected astrophysical symptoms of space-time noncommutativity ?
• Exact Wavefunctions in a Noncommutative Field Theory
• Curing the UV/IR mixing for field theories with translation-invariant $\star$ products
• Squashed Giants: Bound States of Giant Gravitons
• Bell operator and Gaussian squeezed states in noncommutative quantum mechanics
• Duality in Noncommutative Topologically Massive Gauge Field Theory Revisited
• Background geometry of DLCQ M theory on a p-torus and holography
• Noncommutativity, Extra Dimensions, and Power Law Running in the Infrared
• Noncommutative Black-Body Radiation: Implications On Cosmic Microwave Background
• Electromagnetic Strings: Complementarity between Time and Temperature
• Exact master equation for a noncommutative Brownian particle
• Fast Scramblers and Non-Commutative Gauge Theories
• The BRS invariance of noncommutative U(N) Yang-Mills theory at the one-loop level
• Supergravity Couplings of Noncommutative D-branes
• Comments on Noncommutative Open String Theory: V-duality and Holography
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• Braided Symmetries in Noncommutative Field Theory
• Dynamical Breaking of Supersymmetry in Noncommutative Gauge Theories
• String Orbifolds and Quotient Stacks
• Supersymmetric D-brane Bound States with B-field and Higher Dimensional Instantons on Noncommutative Geometry
• Closed Strings Interacting with Noncommutative D-branes
• Möller and Bhabha scattering in the noncommutative standard model
• An Inverse Penrose Limit and Supersymmetry Enhancement in the Presence of Tensor Central Charges
• Noncommutative relativistic particles
• Solitons on compact and noncompact spaces in large noncommutativity
• Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space
• Constraints on effective Lagrangian of D-branes from non-commutative gauge theory
• Noncommutative QED corrections to e^+e^-\toγγγat linear collider energies
• Generally Covariant Actions for Multiple D-branes
• Matrix factorisations and D-branes on K3
• Strings in a Space with Tensor Central Charge Coordinates
• Relativistic field theories in a magnetic background as noncommutative field theories
• Noncommutative gauge theories on D-branes in non-geometric backgrounds
• Interaction between two Fuzzy Spheres
• On Effective Action of Multiple M5-branes and ABJM Action
• The Seiberg-Witten Map for a Time-dependent Background
• Effective Finite Temperature Partition Function for Fields on Non-Commutative Flat Manifolds
• Black-Body Radiation Of Noncommutative Gauge Fields
• Instanton Number Calculus on Noncommutative R^4
• Higgsstrahlung and pair production in $e^{+}{e}^{-}$ collision in the noncommutative standard model
• Supergravity Description of the Large N Noncommutative Dipole Field Theories
• Field theory amplitudes in a space with SU(2) fuzziness
• Fermions and noncommutative theories
• Particle velocity in noncommutative space-time
• Regularization of Non-commutative SYM by Orbifolds with Discrete Torsion and SL(2,Z) Duality
• Field theories on spaces with linear fuzziness
• Noncommutativity and the Motion of D${}_p$-brane along Itself
• Quantum complex scalar fields and noncommutativity
• Matrix Theory in a Constant C Field Background
• BPS Solitons in M5-Brane Worldvolume Theory with Constant Three-Form Field
• A Note on D-Branes of Odd Codimensions from Noncommutative Tachyons
• Noncommutative Mapping from the symplectic formalism
• Orientifolds and twisted boundary conditions
• D1D5 System and Noncommutative Geometry
• Loop diagrams in space with SU(2) fuzziness
• Gauge Invariant Correlators in Non-Commutative Gauge Theory
• Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
• Gauge symmetries decrease the number of Dp-brane dimensions
• Classical Solutions of the TEK Model and Noncommutative Instantons in Two Dimensions
• Tensor Coordinates in Noncommutative Mechanics
• A Matrix Model for Heterotic $Spin(32)/Z_2$ and Type I String Theory
• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• Noncommutativity and Tachyon Condensation
• The supermembrane with central charges:(2+1)-D NCSYM, confinement and phase transition
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• BRST Quantization of Noncommutative Gauge Theories
• Noncommutative Field Theory from String Theory: Two-loop Analysis
• Constructing noncommutative black holes
• String Memory Effect
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time
• Instanton Number of Noncommutative U(n) gauge theory
• Bosonized noncommutative bi-fundamental fermion and S-duality
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• CP^n Model on Fuzzy Sphere
• Gauge symmetries decrease the number of Dp-brane dimensions. II. Inclusion of the Liouville term
• Noncommutative QED and the Lifetimes of Ortho and Para Positronium
• Twisted Bundles on Noncommutative $T^4$ and D-brane Bound States
• Hamiltonian Formulation of Open WZW Strings
• Noncommutative Dipole Field Theories And Unitarity
• Brane Cosmology in the Background of D-Brane with NS B Field
• Chiral dynamics in QED and QCD in a magnetic background and nonlocal noncommutative field theories
• Noncommutative Gauge Theories from Deformation Quantization
• Non-abelian expansion of S-matrix elements and non-abelian tachyon DBI action
• Matrix theory compactifications on twisted tori
• Worldsheet and Spacetime Properties of p-p' System with B Field and Noncommutative Geometry
• Canonical Quantization of Noncommutative Field Theory
• The Moyal Bracket in the Coherent States framework
• D-branes in Lie groups of rank > 1
• Searching for Effects of Spatial Noncommutativity via Chern-Simons' Processes
• Quantum mechanics on space with SU(2) fuzziness
• Noncommutativity from spectral flow
• Topological Strings on Non-Commutative Resolutions
• Neutral Higgs boson pair production at the LC in the Noncommutative Standard Model
• On Supergravity Solutions of Branes in Melvin Universes
• Recent Developments in Superstring Theory
• Poisson structure on a space with linear SU(2) fuzziness
• Test of Quantum Effects of Spatial Noncommutativity using Modified Electron Momentum Spectroscopy
• Noncommutative Super Yang-Mills Theories with 8 Supercharges and Brane Configurations
• Noncommutativity in weakly curved background by canonical methods
• On the Deformation of $\Lambda$-Symmetry in B-field Background
• Supersymmetric Dirac-Born-Infeld theory in noncommutative space
• The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
• Noncommutative SU(N) and Gauge Invariant Baryon Operator
• Star products on extended massive non-rotating BTZ black holes
• Entangled state representations in noncommutative quantum mechanics
• Non-commutative vs. Commutative Descriptions of D-brane BIons
• Geometry from Matrices via D-branes
• Quasi-localized states on noncommutative solitons
• Translational-invariant noncommutative gauge theory
• Extending general covariance: Moyal-type noncommutative manifolds
• Noncommutative Coulombic Monopole
• Aspects of Open-Closed Duality in a Background B-Field
• Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory
• Noncommutativity from the string perspective: modification of gravity at a mm without mm sized extra dimensions
• Aspects of Open-Closed Duality in a Background B-Field II
• On the Consistency of Twisted Gauge Theory
• Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED
• From UV/IR mixing to closed strings
• Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories
• On the Meaning of the String-Inspired Noncommutativity and its Implications
• The noncommutative QED threshold energy versus the optimum collision energy
• One-loop effective potential for scalar and vector fields on higher dimensional noncommutative flat manifolds
• Kronecker foliation, D1-branes and Morita equivalence of Noncommutative two-tori
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• D-branes on Nonabelian Threefold Quotient Singularities
• A Note on Unitarity of Non-Relativistic Non-Commutative Theories
• Statistical mechanics of free particles on space with Lie type noncommutativity
• The Matrix model and the non-commutative geometry of the supermembrane
• Spontaneous Lorentz Symmetry Breaking by Anti-Symmetric Tensor Field
• Wilson Loop and Dimensional Reduction in Non-Commutative Gauge Theories
• D0-branes in an H-field Background and Noncommutative Geometry
• Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines
• Non-commutativity parameters depend not only on the effective coordinate but on its T-dual as well
• Aspects of perturbative quantum field theory on non-commutative spaces
• On Type II NS5-branes in the presence of an RR field
• Supermembranes and Super Matrix Models
• High-Temperature Effective Potential of Noncommutative Scalar Field Theory: Reduction of Degree of Freedom by Noncommutativity
• Heterotic Matrix theory with Wilson lines on the lightlike circle
• On Non-Abelian Structure From Matrix Coordinates
• Noncommutative geometry induced by spin effects
• Closedness of orbits in a space with SU(2) Poisson structure
• Chiral Symmetry Restoration in Holographic Noncommutative QCD
• Quantum Entropy for the Fuzzy Sphere and its Monopoles
• Fermionic T-duality and momenta noncommutativity
• Noncommutative massive Thirring model in three-dimensional spacetime
• Recursive Relations For Processes With n Photons Of Noncommutative QED
• Dual Non-Lorentzian Backgrounds for Matrix Theories
• Translation-Invariant Noncommutative Renormalization
• On Gauge Invariance of Noncommutative Chern-Simons Theories
• Loop Equation and Wilson line Correlators in Non-commutative Gauge Theories
• Noncommutative QCD corrections to the gluonic decays of heavy quarkonia
• A Note on Intersecting and Fluctuating Solitons in 4D Noncommutative Field Theory
• Abelian Toda field theories on the noncommutative plane
• Structure of Noncommutative Fock space
• Deformed Two-Mode Quadrature Operators in Noncommutative Space
• Search for associated production of Higgs with Z boson in the noncommutative Standard Model at linear colliders
• Inferring type and scale of noncommutativity from the PTOLEMY experiment
• Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings
• Noncommutativity and nonassociativity of closed bosonic string on T-dual toroidal backgrounds
• Directly from $H$-flux to the family of three nonlocal $R$-flux theories
• Non-commutativity, Zero modes and D-brane Geometry
• Noncommutative Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• Particle Dynamics And Emergent Gravity
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Transformation of the Dirac-Born-Infeld action under the Seiberg-Witten map
• Noncommutative Vortices and Instantons from Generalized Bose Operators
• Noncommutative radial waves
• Towards a background independent approach to M theory
• Noncommutative Field Theories and Smooth Commutative Limits
• Deformed "Commutative" Chern - Simons System
• Noncommutative Geometry, Strings and Duality
• TeV-photon paradox and space with SU(2) fuzziness
• Noncommutative Open strings, D-brane and Duality
• Effective Action for D-branes on SU(2)/U(1) Gauged WZW Model
• Past and future blurring at fundamental length scale
• On The Interaction Of D0-Brane Bound States And RR Photons
• The Stark Effect with Minimum Length
• Central force problem in space with SU(2) Poisson structure
• Localization at threshold in noncommutative space
• Ground States of Duality-twisted Sigma-Models with K3 Target Space
• Supertubes in Matrix model and DBI action
• Some Issues in Noncommutative Solitons as D-branes
• String Field Theory and Perturbative Dynamics of Noncommutative Field Theory
• Orientifolds of Matrix theory and Noncommutative Geometry
• Matrix Compactification On Orientifolds
• Non-commutative Space And Chan-Paton Algebra In Open String Field Algebra
• Wilson-t'Hooft Loops in Finite-Temperature Non-commutative Dipole Field Theory from Dual Supergravity
• Spontaneous symmetry breaking and masses numerical results in DFR noncommutative space-time
• Twisted Conformal Field Theories and Morita equivalence
• Amplitudes With Different Helicity Configurations Of Noncommutative QED
• Non-commutative holography and scattering amplitudes in a large magnetic background
• Entanglement and separability in the noncommutative phase-space scenario
• Quantum information aspects of noncommutative quantum mechanics
• Quantum dot with spin-orbit interaction in noncommutative phase space and analog Landau levels
• Open string derivation of winding states in thermal noncommutative field theories
• The Galilean Nature of V-duality for Noncommutative Open String and Yang-Mills Theories
• Generating a dynamical M2 brane from super-gravitons in a pp-wave background
• The Noncommutative Standard Model and Forbidden Decays
• Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa theory
• Noncommutativities of D-branes and $\theta$-changing Degrees of Freedom in D-brane Matrix Models
• Emergent Spacetime and Cosmic Inflation
• Jordanian quantum spheres
• Spacetime Noncommutativity in Models with Warped Extradimensions
• Anomaly Cancelations in Orientifolds with Quantized B Flux
• Noncommutative Supersymmetric Yang-Mills Theory in Ten-Dimensions with Higher-Derivative Terms
• Scattering of Noncommutative Waves and Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• Twisted K-theory in $g>1$ from D-branes
• Supersymmetric Duality in Deformed Superloop Space
• Baryon number current in holographic noncommutative QCD
• Strings, Noncommutative Geometry and the Size of the Target Space
• Greybody factor for D3-branes in B field
• Universal terms for holographic entanglement entropy in noncommutative Yang--Mills theory
• Classification of BPS equations in higher dimensions
• S-wave absorption of scalars by noncommutative D3-branes
• An M-theory solution generating technique and SL(2,R)
• A Note on (D(p-2),Dp) Bound State and Noncommutative Yang-Mills Theory
• Light-like noncommutativity and duality from open strings/branes
• Cohomological Operators and Covariant Quantum Superalgebras
• Two-dimensional Noncommutative atom Gas with Anandan interaction
• Global Space-Time Symmetries of Quantized Euclidean and Minkowski Superspaces
• A Note on Interactions of (Non-Commutative) Instantons Via AdS/CFT
• An Associative and Noncommutative Product for the Low Energy Effective Theory of a D-Brane in Curved Backgrounds and Bi-Local Fields
• Open-String Non-Associativity in an R-flux Background
• A general relativity formulation for the Doplicher-Fredenhagen-Roberts noncommutative space-time
• Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces
• Time-Delay at Higher Genus in High-Energy Open String Scattering
• T-duality of a bosonic string in a weakly curved space-time
• Non-commutative Dp-Brane in General Background Fields
• Effective Potential and Spontaneous Symmetry Breaking in the Noncommutative phi^6 Model
• The standard electroweak model in the noncommutative $DFR$ space-time
• A New Lorentz Violating Nonlocal Field Theory From String-Theory
• Moyal Representation of the String Field Star Product in the Presence of a B-background
• NC Calabi-Yau Orbifolds in Toric Varieties with Discrete Torsion
• Eigenvalue problem for radial potentials in space with SU(2) fuzziness
• Perturbed nonlinear models from Noncommutativity
• Spectral Zeta Functions in Non-Commutative Spacetimes
• An Operator Approach To String Equations
• Towards a T-dual Emergent Gravity
• N=1/2 Global SUSY: R-Matrix Approach
• Noncommutativity Parameter As a Field on the String Worldsheet
• On the Fairlie's Moyal formulation of M(atrix)- theory
• Dbrane Phase Transitions and Monodromy in K-theory
• Deformed $C_{\lambda }$-Extended Heisenberg Algebra in Non-commutative Phase-Space
• T-duality for open strings in the presence of backgrounds and noncommutativity
• Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory