On Theories With Light-Like Noncommutativity

Abstract

We show that field theories with light-like noncommutativity, that is with ${\theta }^{0i}=-{\theta }^{1i}$, are unitary quantum theories, and that they can be obtained as decoupled field theory limits of string theory with D-branes in a background NS-NS $B$ field. For general noncommutativity parameters, we show that noncommutative field theories which are unitary can be obtained as decoupled field theory limits of string theory, while those that are not unitary cannot be obtained from string theory because massive open strings do not decouple. We study the different theories with light-like noncommutativity which arise from Type II D-branes. The decoupling limit of the D4-brane seems to lead to a noncommutative field theory deformation of the $(2,0)$ SCFT of M5-branes, while the D5-brane case leads to a noncommutative variation of ``little string theories''. We discuss the DLCQ description of these theories.

16 pages, harvmac; v2: clarified the relation between the light-like D4 and M5 theories; references added

References in corpus (11)

• Space-Time Noncommutative Field Theories And Unitarity
• Space/Time Non-Commutativity and Causality
• OM Theory in Diverse Dimensions
• A Noncommutative M-Theory Five-brane
• On Noncommutative Open String Theories
• Supergravity and Space-Time Non-Commutative Open String Theory
• Stringy Fuzziness as the Custodian of Time-Space Noncommutativity
• Duality and Non-Commutative Gauge Theory
• IR Dynamics of d=2, N=(4,4) Gauge Theories and DLCQ of "Little String Theories"
• ((F, D1), D3) bound state, S-duality and noncommutative open string/Yang-Mills theory
• Comments on Noncommutative Open String Theory: V-duality and Holography

Cited by in corpus (120)

• Quantum Field Theory on Noncommutative Spaces
• Quantum Spacetime Phenomenology
• Non-Relativistic Closed String Theory
• On the unitarity problem in space/time noncommutative theories
• General Properties of Noncommutative Field Theories
• Signals for Non-Commutative Interactions at Linear Colliders
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Dipoles, Twists and Noncommutative Gauge Theory
• Noncommutative ${\Phi }^4$ Theory at Two Loops
• Noncommutative QED and Anomalous Dipole Moments
• Spin-Statistics and CPT Theorems in Noncommutative Field Theory
• Noncommutative Gravity
• Holography for Schrodinger backgrounds
• Hamiltonian Formalism for Space-time Non-commutative Theories
• Almost abelian twists and AdS/CFT
• Twisted Backgrounds, PP-Waves and Nonlocal Field Theories
• Aspects of Nonrelativistic Strings
• Perturbative Approach to Higher Derivative and Nonlocal Theories
• Phase diagram and dispersion relation of the non-commutative λϕ^{4} model in d=3
• Open Branes in Space-Time Non-Commutative Little String Theory
• A non-perturbative study of 4d U(1) non-commutative gauge theory -- the fate of one-loop instability
• Constraining non-commutative space-time from GW150914
• A Realization of the Cohen-Glashow Very Special Relativity
• Twisted Galilean symmetry and the Pauli principle at low energies
• Supersymmetric Brane-Antibrane Configurations
• Dualities, Twists, and Gauge Theories with Non-Constant Non-Commutativity
• Hermitian Analyticity, IR/UV Mixing and Unitarity of Noncommutative Field Theories
• Twist and Spin-Statistics Relation in Noncommutative Quantum Field Theory
• Causal structures and holography
• Pair Production by a Constant External Field in Noncommutative QED
• Gauge and BRST Generators for Space-Time Non-commutative U(1) Theory
• Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge field theories
• Supersymmetric Brane-Antibrane Systems: Matrix Model Description, Stability and Decoupling Limits
• ((F, D1), D3) bound state, S-duality and noncommutative open string/Yang-Mills theory
• Holographic Noncommutativity
• General structure of the photon self-energy in non-commutative QED
• $t\to bW$ in NonCommutative Standard Model
• D-branes and BCFT in Hpp-wave backgrounds
• Supertube domain-walls and elimination of closed time-like curves in string theory
• Effective Lagrangian at Cubic Order in Electromagnetic Fields and Vacuum Birefringence
• The UV and IR Origin of Nonabelian Chiral Gauge Anomalies on Noncommutative Minkowski Space-time
• Nonassociative Snyder phi4 Quantum Field Theory
• Comments on the topological open membrane
• Discerning Noncommutative Extra Dimensions
• SL(2, Z) Duality and 4-Dimensional Noncommutative Theories
• Electromagnetic Strings: Complementarity between Time and Temperature
• The Z--> l^+ l^- and W--> nu_l l^+ decays in the noncommutative standard model}}
• Failure of microcausality in quantum field theory on noncommutative spacetime
• The BRS invariance of noncommutative U(N) Yang-Mills theory at the one-loop level
• Melvin Twists of global AdS_5 \times S_5 and their Non-Commutative Field Theory Dual
• Light-by-Light Scattering and Spacetime Noncommutativity
• Functional Lagrange formalism for time-non-local Lagrangians
• Non-Commutative Geometry from Strings
• Flowing from a noncommmutative (OM) five brane via its supergravity dual
• Strong Coupling Effects in non-commutative spaces from OM Theory and supergravity
• Noncommutativity and the Motion of D${}_p$-brane along Itself
• UV/IR Mixing in Nonassociative Snyder phi^4 Theory
• Open strings in relativistic ion traps
• Seiberg-Witten maps and scattering amplitudes of NCQED
• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• Nonlocal Effects on D-branes in Plane-Wave Backgrounds
• Noncommutative Dipole Field Theories And Unitarity
• Computing noncommutative Chern-Simons theory radiative corrections on the back of an envelope
• Holography and D3-branes in Melvin Universes
• Experimental test of Non-Commutative Quantum Gravity by VIP-2 Lead
• Kontsevich product and gauge invariance
• Unitary Quantum Field Theory on the Noncommutative Minkowski space
• Quantized equations of motion in non-commutative theories
• The covariant form of the gauge anomaly on noncommutative R2n
• On the mass spectrum of noncommutative Schwinger model in Euclidean ${\mathbb{R}}^2$ space
• Seiberg-Witten map Invariant Scatterings
• The inclusive b -> s γdecay in the noncommutative standard model
• Holographic flows to IR Lifshitz spacetimes
• Spacetime Deformation Effect on the Early Universe and the PTOLEMY Experiment
• Factorization and generalized *-products
• Duality Rotations and BPS Monopoles with Space and Time Noncommutativity
• On Supergravity Solutions of Branes in Melvin Universes
• The static effective action for non-commutative QED at high temperature
• Phenomenology of Noncommutative Field Theories
• Troubles with Spacetime Noncommutative Theories: Tachyons or S-branes?
• Laser intensity effects in noncommutative QED
• The Cutkosky rule of three dimensional noncommutative field theory in Lie algebraic noncommutative spacetime
• Cutting rules and perturbative unitarity of noncommutative electric-type field theories from string theory
• Noncommutativity in linear dilaton background
• A Note on Unitarity of Non-Relativistic Non-Commutative Theories
• Quantum noncommutative ABJM theory: first steps
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• On beta-deformations and Noncommutativity
• Spin-Statistics Violations in Superstring Theory
• Tree Unitarity and Partial Wave Expansion in Noncommutative Quantum Field Theory
• Induced magnetic moment in noncommutative Chern-Simons scalar QED
• Inferring type and scale of noncommutativity from the PTOLEMY experiment
• On Duality Rotations in Light-Like Noncommutative Electromagnetism
• Conformal Anomalies in Noncommutative Gauge Theories
• A note on half-supersymmetric bound states in M-theory and type IIA
• Light-Like Noncommutativity, Light-Front Quantization and New Light on UV/IR Mixing
• The form factors existing in the b->s g^* decay and the possible CP violating effects in the noncommutative standard model
• MHD waves within Noncommutative Maxwell theory
• Strong Field, Noncommutative QED
• Noncommutative Time in Quantum Field Theory
• Microscopic Formulation of Puff Field Theory
• Conserved Quantities in Noncommutative Principal Chiral Model with Wess-Zumino Term
• Revisiting NCQED and scattering amplitudes
• Trace Anomaly and Quantization of Maxwell's Theory on Non-Commutative Spaces
• Stretched strings and worldsheets with a handle
• The Galilean Nature of V-duality for Noncommutative Open String and Yang-Mills Theories
• Spacetime Noncommutativity in Models with Warped Extradimensions
• Light-like (2,0) Noncommutativity and Light-Cone Rigid Open Membrane Theory
• An Arena for Model Building in the Cohen-Glashow Very Special Relativity
• Bounds on the scale of noncommutativity from mono photon production in ATLAS Runs -1 and -2 experiments at LHC energies
• An Associative and Noncommutative Product for the Low Energy Effective Theory of a D-Brane in Curved Backgrounds and Bi-Local Fields
• Search for noncommutative interactions in $\gamma \gamma \to \gamma \gamma$ process at the LHC
• Light-like noncommutativity and duality from open strings/branes
• Non-Commutative Extensions of the Standard Model
• Haag's Theorem in Noncommutative Quantum Field Theory
• New M(atrix)-models for Commutative and Noncommutative Gauge Theories
• One-loop unitarity of string theories in a constant external background and their Seiberg-Witten limit
• Noncommutativity and the lightfront
• Noncommutativity and Ramond-Ramond fields
• D-branes, gauge/string duality and noncommutative theories