Noncommutative Field Theory on Homogeneous Gravitational Waves
arXiv:hep-th/0602036 · doi:10.1088/0305-4470/39/18/030
Abstract
We describe an algebraic approach to the time-dependent noncommutative geometry of a six-dimensional Cahen-Wallach pp-wave string background supported by a constant Neveu-Schwarz flux, and develop a general formalism to construct and analyse quantum field theories defined thereon. Various star-products are derived in closed explicit form and the Hopf algebra of twisted isometries of the plane wave is constructed. Scalar field theories are defined using explicit forms of derivative operators, traces and noncommutative frame fields for the geometry, and various physical features are described. Noncommutative worldvolume field theories of D-branes in the pp-wave background are also constructed.
44 pages; v2: References added
References in corpus (58)
- String Theory and Noncommutative Geometry
- Deformation quantization of Poisson manifolds, I
- Noncommutative Field Theory
- Quantum Field Theory on Noncommutative Spaces
- Noncommutative Perturbative Dynamics
- Gauge Theory on Noncommutative Spaces
- On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
- A path integral approach to the Kontsevich quantization formula
- A WZW model based on a non-semi-simple group
- Magnetic fields, branes and noncommutative geometry
- D-branes in the WZW model
- New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
- Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres
- Introduction to M(atrix) theory and noncommutative geometry
- Introduction to M(atrix) theory and noncommutative geometry, Part II
- Penrose limits, supergravity and brane dynamics
- Plane Wave Limits and T-Duality
- Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds
- Relative formality theorem and quantisation of coisotropic submanifolds
- Deformed Field Theory on kappa-spacetime
- Homogeneous Plane Waves
- The Particle Spectrum of Heterotic Compactifications
- Deformed Coordinate Spaces; Derivatives
- Open Strings in a B-field Background as Electric Dipoles
- Holography and String Dynamics in Time-dependent Backgrounds
- D-Brane Solutions in pp-wave Background
- Lectures on Branes in Curved Backgrounds
- Noncommutative field theory and violation of translation invariance
- String interactions in gravitational wave backgrounds
- NCOS and D-branes in Time-dependent Backgrounds
- Dualities, Twists, and Gauge Theories with Non-Constant Non-Commutativity
- On the Thermodynamics of Large N Noncommutative Super Yang-Mills Theory
- Strings in homogeneous gravitational waves and null holography
- Generalized Weyl systems and kappa-Minkowski space
- A Small Note on PP-Wave Vacua in 6 and 5 Dimensions
- Magnetic Backgrounds and Noncommutative Field Theory
- Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model
- On the hierarchy of symmetry breaking D-branes in group manifolds
- Noncommutative D-Brane in Non-Constant NS-NS B Field Background
- Construction of Gauge Theories on Curved Noncommutative Spacetime
- Noncommutativity in a Time-Dependent Background
- Derivatives, forms and vector fields on the kappa-deformed Euclidean space
- More D-branes in the Nappi-Witten background
- The UV/IR Interplay in Theories with Space-time Varying Non-commutativity
- Effective Field Theories on Non-Commutative Space-Time
- Phase Space Reduction for Star-Products: An Explicit Construction for CP^n
- D-branes and BCFT in Hpp-wave backgrounds
- Strings in Gravimagnetic Fields
- Noncommutative Differential Calculus for D-brane in Non-Constant B Field Background
- String amplitudes in the Hpp-wave limit of AdS3xS3
- Penrose limits of Lie Branes and a Nappi--Witten braneworld
- Non-commutative gauge theory on D-branes in Melvin Universes
- Action functional for kappa-Minkowski Noncommutative Spacetime
- Kontsevich's Universal Formula for Deformation Quantization and the Campbell-Baker-Hausdorff Formula, I
- Holography and D3-branes in Melvin Universes
- On Supergravity Solutions of Branes in Melvin Universes
- On the Kontsevich and the Campbell-Baker-Hausdorff deformation quantizations of a linear Poisson structure
- Isometric Embeddings and Noncommutative Branes in Homogeneous Gravitational Waves
Cited by in corpus (13)
- Symmetry, Gravity and Noncommutativity
- Generalized kappa-deformed spaces, star-products, and their realizations
- Quantized Nambu-Poisson Manifolds and n-Lie Algebras
- Kappa-Minkowski spacetime, Kappa-Poincaré Hopf algebra and realizations
- The deformation quantizations of the hyperbolic plane
- Lie algebra type noncommutative phase spaces are Hopf algebroids
- Differential forms and k-Minkowski spacetime from extended twist
- Exponential Formulas and Lie Algebra Type Star Products
- Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
- Leibniz rules for enveloping algebras in symmetric ordering
- Heisenberg double versus deformed derivatives
- Hopf Algebroid Twists for Deformation Quantization of Linear Poisson Structures
- Deformations of anti-de Sitter black holes