2004/10/31 by R. D'Auria, Riccardo D’Auria, S. Ferrara · 1 citation
Mathematics · Physics and Astronomy · #Antisymmetric relation #Antisymmetric tensor #Black Holes and Theoretical Physics #Conformal map #Cosmology and Gravitation Theories #Coupling (piping) #Gauge (firearms) #Gauge theory #Geometry #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1016/j.physletb.2004.11.074
published as Phys.Lett. B606 (2005) 211-217 · 11 pages, LaTeX source, typos corrected. Version to appear on Phys.Lett.B
arxiv created 2004/11/29 · openalex publication_date 2004/12/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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-22- forms. Denoting by eI_Łand mIŁ the electric and magnetic couplings, gauge invariance requires: eI_ŁmJŁ∓ eJ_ŁmIŁ=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=√ e2 +m2 . 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.