Polynomial Duality-Symmetric Lagrangians for Free p-Forms

Abstract

We explore the properties of polynomial Lagrangians for chiral $p$-forms previously proposed by the last named author, and in particular, provide a self-contained treatment of the symmetries and equations of motion that shows a great economy and simplicity of this formalism. We further use analogous techniques to construct polynomial democratic Lagrangians for general $p$-forms where electric and magnetic potentials appear on equal footing as explicit dynamical variables. Due to our reliance on the differential form notation, the construction is compact and universally valid for forms of all ranks, in any number of dimensions.

References in corpus (40)

• Covariant Action for the Super-Five-Brane of M-Theory
• Duality Symmetric Actions
• Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory
• On Lorentz Invariant Actions for Chiral P-Forms
• A non-linear duality-invariant conformal extension of Maxwell's equations
• Partial breaking of global D=4 supersymmetry, constrained superfields, and 3-brane actions
• Interacting Chiral Gauge Fields in Six Dimensions and Born-Infeld Theory
• Duality Symmetric Actions with Manifest Space-Time Symmetries
• Supersymmetric Duality Rotations
• Nonlinear electrodynamics with the maximum allowable symmetries
• On p-form gauge theories and their conformal limits
• NOTE ON MANIFEST LORENTZ AND GENERAL COORDINATE INVARIANCE IN DUALITY SYMMETRIC MODELS.
• Duality-Symmetric Eleven-Dimensional Supergravity and its Coupling to M-Branes
• Covariant Action for Type IIB Supergravity
• Self-dual forms: Action, Hamiltonian and Compactification
• Covariant path integral for chiral p-forms
• World-volume fields, SL(2;Z) and duality: The type IIB 3-brane
• On Covariant Actions for Chiral $p-$Forms
• Asymptotic Symmetries in $p$-Form Theories
• (2,0) Lagrangian Structures
• Duality of Self-Dual Actions
• Covariant actions for models with non-linear twisted self-duality
• Duality invariance implies Poincare invariance
• Self-interacting chiral p-forms in higher dimensions
• Manifestly Lorentz invariant chiral boson action
• Duality-invariant Quantum Field Theories of Charges and Monopoles
• The M5-brane action revisited
• Geometrical Aspects of An Abelian (2,0) Action
• Toward Exotic 6D Supergravities
• Covariant Duality Symmetric Actions
• Duality invariant self-interactions of abelian p-forms in arbitrary dimensions
• Covariant M5-brane action with self-dual 3-form
• Self-Duality beyond Chiral p-Form Actions
• Strong field limit of the Born-Infeld p-form electrodynamics
• Self-Dual Forms in Supergeometry I: The Chiral Boson
• Note on the self-duality of gauge fields in topologically nontrivial spacetime
• Harmonics, Notophs and Chiral Bosons
• Space-Time Symmetries in Duality Symmetric Models
• Supersymmetric Wilson Loops via Integral Forms
• On Different Formulations of Chiral Bosons

Cited by in corpus (14)

• Three approaches to chiral form interactions
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• M5-brane in the superspace approach
• Democracy from topology
• Unifying Approaches to Chiral Bosons
• Democratic actions for type II supergravities
• Manifestly Covariant Polynomial M5-brane Lagrangians
• Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS
• Vortices, topology and time
• Hidden Conformal Symmetry of the Discrete Series Scalars in dS${}_2$
• Duality Anomalies in Linearized Gravity
• Democratic Lagrangians for Nonlinear Electrodynamics
• Nonlinear (chiral) p-form electrodynamics
• Coupling of Branes and Twisted Self-Duality in the Maxwell-Chern-Simons Theory