p-Brane Dyons and Electric-magnetic Duality

Abstract

We discuss dyons, charge quantization and electric-magnetic duality for self-interacting, abelian, p-form theories in the spacetime dimensions D=2(p+1) where dyons can be present. The corresponding quantization conditions and duality properties are strikingly different depending on whether p is odd or even. If p is odd one has the familiar eg'-ge'= 2nh, whereas for even p one finds the opposite relative sign, eg'+ge'= 2nh. These conditions are obtained by introducing Dirac strings and taking due account of the multiple connectedness of the configuration space of the strings and the dyons. A two-potential formulation of the theory that treats the electric and magnetic sources on the same footing is also given. Our results hold for arbitrary gauge invariant self-interaction of the fields and are valid irrespective of their duality properties.

33 pages, 1 figure

Cited by in corpus (41)

• On the Defect Group of a 6D SCFT
• Global aspects of the space of 6D N = 1 supergravities
• Duality in linearized gravity
• Charge Lattices and Consistency of 6D Supergravity
• Magnetic monopoles revisited: Models and searches at colliders and in the Cosmos
• Monopoles for Gravitation and for Higher Spin Fields
• Structure in 6D and 4D N=1 supergravity theories from F-theory
• Self-dual strings in six dimensions: Anomalies, the ADE-classification, and the world-sheet WZW-model
• Manifest spin 2 duality with electric and magnetic sources
• Manifestly $SL(2,R)$ Duality-Symmetric Forms in ModMax Theory
• String Defects, Supersymmetry and the Swampland
• Chiral Tensors of Mixed Young Symmetry
• Gravitational Electric-Magnetic Duality, Gauge Invariance and Twisted Self-Duality
• The Self-Dual String and Anomalies in the M5-brane
• Dyons with potentials: duality and black hole thermodynamics
• Partially Massless Monopoles and Charges
• Duality invariant self-interactions of abelian p-forms in arbitrary dimensions
• Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity
• Non-Abelian Self-Dual String Solutions
• Can (Electric-Magnetic) Duality Be Gauged?
• Quantization of the Chern-Simons Coupling Constant
• The (2,0) supersymmetric theory of tensor multiplets and self-dual strings in six dimensions
• Supersymmetric coupling of a self-dual string to a (2,0) tensor multiplet background
• $p$-Forms on the Celestial Sphere
• Fractional Quantum Hall Effect for Extended Objects: from Skyrmionic Membranes to Dyonic Strings
• Symplectic reduction of p-form electrodynamics
• Prepotentials for linearized supergravity
• Geometric Approach to 3D Interfaces at Strong Coupling
• A note on "gaugings" in four spacetime dimensions and electric-magnetic duality
• Magnetic Monopole in the Loop Representation
• Dyonic Anomalies
• Superconformal symmetry in the interacting theory of (2,0) tensor multiplets and self-dual strings
• Dirac branes for Dirichlet branes: Supergravity actions
• Scattering amplitudes for particles and strings in six-dimensional (2,0) theory
• Geometric Representation of the generator of duality in massless and massive $p-$form field theories
• Pairwise Helicity in Higher Dimensions
• Variations on the Dirac string
• Dynamics of the Born-Infeld dyons
• Coupling of Branes and Twisted Self-Duality in the Maxwell-Chern-Simons Theory
• Integral group actions on symmetric spaces and discrete duality symmetries of supergravity theories
• Vacuum Expectation Value of the Higgs Field and Dyon Charge Quantisation from Spacetime Dependent Lagrangians