Exact Seiberg-Witten Map, Induced Gravity and Topological Invariants in Noncommutative Field Theories
arXiv:hep-th/0404064 · doi:10.1016/j.nuclphysb.2004.12.003
Abstract
We revisit the exact Seiberg-Witten (SW) map on Dirac-Born-Infeld actions, making a connection with the deformation quantization scheme. The picture on field dependent induced gravity from noncommutativity becomes more transparent in the context of deformation quantization. We also find an exact SW map for an adjoint scalar field, consistent with that deduced from RR couplings of unstable non-BPS D-branes. The dual description via the exact SW map can again be interpreted as the ordinary field theory coupling to gravity induced by gauge fields. Using the exact SW maps, we further discuss several aspects of topological invariants in noncommutative (NC) gauge theory. Especially, it is shown that the K-theory class on NC instantons is mapped to the usual second Chern class via exact SW map and it leads to an exact SW map between commutative and NC Chern-Simons terms.
19 pages, Latex, v2: references added
References in corpus (2)
Cited by in corpus (72)
- Emergent Geometry and Gravity from Matrix Models: an Introduction
- Emergent Gravity from Noncommutative Gauge Theory
- Comments on noncommutative gravity
- Emergent Gravity from Noncommutative Spacetime
- Topics in Noncommutative Geometry Inspired Physics
- Emergent Gravity and Noncommutative Branes from Yang-Mills Matrix Models
- Emergent Gravity, Matrix Models and UV/IR Mixing
- Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity
- On The Correspondence Between Noncommuative Field Theory And Gravity
- Seiberg--Witten Maps to All Orders
- Time-Space Noncommutativity in Gravitational Quantum Well scenario
- Emergent Spacetime and The Origin of Gravity
- Fermions and Emergent Noncommutative Gravity
- Instantons and Emergent Geometry
- Covariant Field Equations, Gauge Fields and Conservation Laws from Yang-Mills Matrix Models
- Gravitational Instantons from Gauge Theory
- Non-anticommutativity in Presence of a Boundary
- Emergent Geometry and Quantum Gravity
- Integer-Squared Laws for Global Vortices in the Born--Infeld Wave Equations
- ALE spaces from noncommutative U(1) instantons via exact Seiberg-Witten map
- Towards A Background Independent Quantum Gravity
- Noncommutative Einstein-Maxwell pp-waves
- Gauge Theories on Deformed Spaces
- Emergent Geometry from Quantized Spacetime
- Quasinormal Modes in Noncommutative Schwarzschild black holes
- On the Renormalizability of Noncommutative U(1) Gauge Theory - an Algebraic Approach
- Maps for currents and anomalies in noncommutative gauge theories
- U(1) gauge invariant noncommutative Schrödinger theory and gravity
- Test of Emergent Gravity
- Noncommutative Maxwell-Chern-Simons theory in three dimensions and its dual
- Chern-Simons Theory in SIM(1) Superspace
- Quantum complex scalar fields and noncommutativity
- An Efficient Representation of Euclidean Gravity I
- Photon self-interaction on deformed spacetime
- Quantization of Emergent Gravity
- Topology Change of Spacetime and Resolution of Spacetime Singularity in Emergent Gravity
- Notes on Emergent Gravity
- Galilean symmetry in noncommutative Gravitational Quantum Well
- On the question of deconfinement in noncommutative Schwinger Model
- Self-quartic interaction for a scalar field in an extended DFR noncommutative spacetime
- Noncommutative Tachyon Kinks as D-branes from Unstable D-brane
- A new approach to the analysis of a noncommutative Chern-Simons theory
- Seiberg-Witten map Invariant Scatterings
- Some aspects of quantum mechanics and field theory in a Lorentz invariant noncommutative space
- The Noncommutative Doplicher-Fredenhagen-Roberts-Amorim Space
- Dimensional Reduction, Seiberg--Witten Map and Supersymmetry
- Highly Effective Action from Large N Gauge Fields
- A Review of Noncommutative Field Theories
- Ambiguities in the Seiberg-Witten Map and Emergent Gravity
- Issues on 3D Noncommutative Electromagnetic Duality
- Quantized Kähler Geometry and Quantum Gravity
- Remarks on an Exact Seiberg-Witten map
- On the question of regular solitons in a Noncommutative Maxwell--Chern--Simons--Higgs model
- Spontaneous symmetry breaking and masses numerical results in DFR noncommutative space-time
- Novel Ambiguities in the Seiberg-Witten Map and the Emergent Gravity
- On Charge Conservation and The Equivalence Principle in the Noncommutative Spacetime
- Towards Axiomatization and General Results on Strong Emergence Phenomena Between Lagrangian Field Theories
- Noncommutativity and Duality through the Symplectic Embedding Formalism
- Quantisation of Lorentz invariant scalar field theory in non-commutative space-time and its consequence
- Exact Rolling Tachyon in Noncommutative Field Theory
- 3D and 4D noncommutative electromagnetic duality and the role of the slowly varying fields limit
- 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
- The standard electroweak model in the noncommutative space-time
- Theories on noncommutative spaces and deformed symmetries
- Covariant Star Product on Semi-Conformally Flat Noncommutative Calabi-Yau Manifolds and Noncommutative Topological Index Theorem
- On the Non-Flatness Nature of Noncommutative Minkowski Spacetime and the Singular Behavior of Probes
- Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
- Aspects of noncommutativity in field theory, strings and membranes
- Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields
- An Axiomatization Proposal and a Global Existence Theorem for Strong Emergence Between Parameterized Lagrangian Field Theories
- Noncommutative Theories, Seiberg-Witten Map and Gravity