The Six Dimensional Self-Dual Tensor

Abstract

The equations of motion for a self-interacting self-dual tensor in six dimensions are extracted from the equations describing the M-theory five-brane. These equations are presented in a self-contained, six-dimensional Lorentz-covariant form. In particular, it is shown that the field-strength tensor satisfies a non-linear generalised self-duality constraint. The self-duality equation is rewritten in five-dimensional notation and shown to be identical to the corresponding equation in the non-covariant formalism.

8 pages, latex

References in corpus (2)

• Covariant Action for the Super-Five-Brane of M-Theory
• World-Volume Action of the M Theory Five-Brane

Cited by in corpus (62)

• Kappa-Symmetry, Supersymmetry and Intersecting Branes
• Superbranes and Superembeddings
• The geometry of three-forms in six and seven dimensions
• The Self-Dual String Soliton
• On the equivalence of different formulations of the M Theory five--brane
• On p-form gauge theories and their conformal limits
• Massive Branes
• On Noncommutative Open String Theories
• An action for the super-5-brane in D=11 supergravity
• Brane Effective Actions, Kappa-Symmetry and Applications
• Generalized Action Principle and Superfield Equations of Motion for d=10 D-p-branes
• BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
• Towards Integrability of Topological Strings I: Three-forms on Calabi-Yau manifolds
• Deformation independent open brane metrics and generalized theta parameters
• D=10 super-D9-brane
• Brane Rotating Symmetries and the Fivebrane Equations of Motion
• Covariant actions for models with non-linear twisted self-duality
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Volkov-Akulov theory and D-branes
• Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
• A Calibration Bound for the M-Theory Fivebrane
• Aspects of Superembeddings
• M5 on a torus and the three brane
• A Membrane Action for OM Theory
• Duality-symmetric actions for non-Abelian tensor fields
• The M5-brane action revisited
• Superconformal 6D (2,0) theories in superspace
• The metric and strong coupling limit of the M5-brane
• More on the Nambu-Poisson M5-brane Theory: Scaling limit, background independence and an all order solution to the Seiberg-Witten map
• Covariant M5-brane action with self-dual 3-form
• Pseudo-Riemannian Jacobi-Videv Manifolds
• BPS Solitons in M5-Brane Worldvolume Theory with Constant Three-Form Field
• Exceptional M-brane sigma models and $\eta$-symbols
• Monopole Dynamics from the M-Fivebrane
• Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background
• On the Energy Momentum Tensor of the M-Theory Fivebrane
• Actions for Non-Abelian Twisted Self-Duality
• Five-brane Instantons vs Flux-induced Gauging of Isometries
• Flux Quantization on M5-branes
• The Dual Formulation of M5-brane Action
• Examples of signature (2,2) manifolds with commuting curvature operators
• A covariantisation of M5-brane action in dual formulation
• Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background Flux
• Superembedding Approach and S-Duality. A unified description of superstring and super-D1-brane
• On superembedding approach to type IIB 7-branes
• Towards 2+4 formulation of M5-brane
• Supersymmetry and Strongly Coupled Gauge Theories
• On Different Formulations of Chiral Bosons
• Superconformal Theories in Six Dimensions
• Noncommutative M-branes from Covariant Open Supermembranes
• Superstring 'ending' on super-D9-brane: a supersymmetric action functional for the coupled brane system
• Manifestly Covariant Polynomial M5-brane Lagrangians
• A Polynomial First Order Action for the Dirichlet 3-brane
• S-Duality from OM-Theory
• Intersecting Noncommutative M5-branes from Covariant Open Supermembrane
• Aspects of the M5-Brane
• String Solitons in M Theory Fivebrane : A possibility of higher order U(1) bundles
• Holographic M-Brane Super-Embeddings
• Lorentz harmonics and superfield action. D=10, N=1 superstring
• Abelian gauge symmetries and fluxed instantons in compactifications of type IIB and F-theory
• Super Fivebranes near the boundary of $Ad{S}_7\times S^4$
• Non-commutative M-branes from Open Pure Spinor Supermembrane