Comments on Chiral p-Forms

Abstract

Two issues regarding chiral $p$-forms are addressed. First, we investigate the topological conditions on spacetime under which the action for a non-chiral $p$-form can be split as the sum of the actions for two chiral $p$-forms, one of each chirality. When these conditions are not met, we exhibit explicitly the extra topological degrees of freedom and their couplings to the chiral modes. Second, we study the problem of constructing Lorentz-invariant self-couplings of a chiral $p$-form in the light of the Dirac-Schwinger condition on the energy-momentum tensor commutation relations. We show how the Perry-Schwarz condition follows from the Dirac-Schwinger criterion and point out that consistency of the gravitational coupling is automatic.

contribution to "Quantum Gravity in the Southern Cone II", Bariloche (Argentina) January 6-10, 1998; typos corrected

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Cited by in corpus (28)

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• On p-form gauge theories and their conformal limits
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• On Covariant Actions for Chiral $p-$Forms
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• The Action for Twisted Self-Duality
• Deformations of duality-symmetric theories
• Chiral Tensors of Mixed Young Symmetry
• Toward Exotic 6D Supergravities
• Duality invariant self-interactions of abelian p-forms in arbitrary dimensions
• Unifying Approaches to Chiral Bosons
• On Lagrangian approach to self-dual gauge fields in spacetime of nontrivial topology
• A note on unfree gauge symmetry
• Higher-derivative massive actions from dimensional reduction
• Unfree gauge symmetry in the BV formalism
• Lagrangian cohomological couplings among vector fields and matter fields
• A Note on Supersymmetric Chiral Bosons
• On the cohomological derivation of topological Yang-Mills theory
• Note on the self-duality of gauge fields in topologically nontrivial spacetime
• The Dual Formulation of M5-brane Action
• A covariantisation of M5-brane action in dual formulation
• Effective action for the field equations of charged black holes
• On chiral bosons in 2D and 6D
• Towards 2+4 formulation of M5-brane
• A note on "gaugings" in four spacetime dimensions and electric-magnetic duality
• Massless chiral fields in six dimensions
• Dual formulation of covariant nonlinear duality-symmetric action of kappa-symmetric D3-brane
• Kac-Moody and Borcherds Symmetries of Six-Dimensional Chiral Supergravity