Dyonic Masses from Conformal Field Strengths in D even Dimensions

Abstract

We show that D/2--form gauge fields in D even dimensions can get a mass with both electric and magnetic contributions when coupled to conformal field--strengths whose gauge potentials is are \frac {D-2}{2}- forms. Denoting by e^I_Łand m^{IŁ} the electric and magnetic couplings, gauge invariance requires: e^I_Łm^{JŁ}\mp e^J_Łm^{IŁ}=0, where I,Ł= 1... m denote the species of gauge potentials of degree D/2 and gauge fields of degree D/2-1, respectively. The minus and plus signs refer to the two different cases D=4n and D=4n+2 respectively and the given constraints are respectively {\rm {Sp}}(2m) and {\rm {O}}(m,m) invariant. For the simplest examples, (I,Ł=1 for D=4n and I,Ł=1,2 for D=4n+2) both the e,m quantum numbers contribute to the mass \m=\sqrt {e^2 +m^2} . This phenomenon generalizes to $D$ even dimensions the coupling of massive antisymmetric tensors which appear in D=4 supergravity Lagrangians which derive from flux compactifications in higher dimensions. For D=4 we give the supersymmetric generalization of such couplings using N=1 superspace.

arXiv comment11 pages, LaTeX source, typos corrected. Version to appear on Phys.Lett.B

References in corpus (8)

• Hierarchies from Fluxes in String Compactifications
• CFT's From Calabi-Yau Four-folds
• RR Flux on Calabi-Yau and Partial Supersymmetry Breaking
• Moduli Stabilization in Chiral Type IIB Orientifold Models with Fluxes
• Spontaneous Breaking of N=2 Global Supersymmetry
• Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes
• Flux Compactifications on Calabi-Yau Threefolds
• Gauge Fields and Singletons of $Ad{S}_{2p+1}$

Cited by in corpus (29)

• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• The effective action of type II Calabi-Yau orientifolds
• On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
• New higher-derivative couplings in 4D N = 2 supergravity
• Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space
• N=2 supergravity and supercurrents
• N=2 AdS supergravity and supercurrents
• On N = 2 supergravity and projective superspace: Dual formulations
• Compactifications on twisted tori with fluxes and free differential algebras
• On massive tensor multiplets
• E_{7(7)} symmetry and dual gauge algebra of M-theory on a twisted seven-torus
• The R-map and the Coupling of N=2 Tensor Multiplets in 5 and 4 Dimensions
• On the duality of massive Kalb-Ramond and Proca fields
• Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes
• Scalar potential for the gauged Heisenberg algebra and a non-polynomial antisymmetric tensor theory
• D=4, N=2 Gauged Supergravity coupled to Vector-Tensor Multiplets
• On Dual Formulations of Massive Tensor Fields
• Curvatures and potential of M-theory in D=4 with fluxes and twist
• Masses and Dualities in Extended Freedman-Townsend Models
• Effective actions for dual massive (super) p-forms
• Poincare' dual of D=4 N=2 Supergravity with Tensor Multiplets
• Non-local form factors for curved-space antisymmetric fields
• Supersymmetric Proca-Yang-Mills System
• Abelian tensor hierarchy and Chern-Simons actions in 4D N=1 conformal supergravity
• Minimal $\mathcal{N}=4$ topologically massive supergravity
• Couplings of N=1 chiral spinor multiplets
• Dual formulations of vortex strings in supersymmetric Abelian Higgs model
• Lagrangians for Massive Dirac Chiral Superfields