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Dyonic Masses from Conformal Field Strengths in D even Dimensions
High Energy Physics - Theory · Submitted 5 Oct 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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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_\L and m^{I\L} the electric and magnetic couplings, gauge invariance requires: e^I_\L m^{J\L}\mp e^J_\L m^{I\L}=0, where I,\L= 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,\L=1 for D=4n and I,\L=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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | result 0.70 | 0.93 | 0.87 | asserted 0.98 |
| s1 | Denoting by e^I_\L and m^{I\L} the electric and magnetic couplings, gauge invariance requires: e^I_\L m^{J\L}\mp e^J_\L m^{I\L}=0, where I,\L= 1... m denote the species of gauge potentials of degree D/2 and gauge fields of degree D/2-1, respectively. | result 0.91 | 0.67 | 0.12 | asserted 1.00 |
| s2 | 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. | result 0.86 | 0.74 | 0.07 | asserted 1.00 |
| s3 | For the simplest examples, (I,\L=1 for D=4n and I,\L=1,2 for D=4n+2) both the e,m quantum numbers contribute to the mass \m=\sqrt {e^2 +m^2} . | result 0.98 | 0.83 | 0.20 | asserted 1.00 |
| s4 | 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. | interpretation 0.89 | 0.53 | 0.16 | asserted 0.99 |
| s5 | For D=4 we give the supersymmetric generalization of such couplings using N=1 superspace. | contribution 0.94 | 0.87 | 0.06 | asserted 0.96 |
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Original 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_\L and m^{I\L} the electric and magnetic couplings, gauge invariance requires: e^I_\L m^{J\L}\mp e^J_\L m^{I\L}=0, where I,\L= 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,\L=1 for D=4n and I,\L=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.
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7 arXiv papers cite this in 10 sentences
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Cites it as background 2 papers
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We can absorb it into $Ψ$, by applying a finite gauge transformation ([ref]), and then we end up with a massive tensor compensator [equation] If we parametrize $α= 1 - e / μ$ with $e^2 + μ^2 = 4 ξ^2$, the mass-like term for $Ψ$ becomes $ξ^2 / α= μ(μ+ e) / 4$, which can be interpreted as a combination of magnetic and electric contributions which are associated with the two possible mass terms $B ∧^* B$ and $B ∧B$ for the component two-form $B$ (see, e.g, [ref] for a pedagogical discussion).
N=2 AdS supergravity and supercurrents · Dual versions of the supergravity action · 0.86
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The general couplings of such $N=2$ theories are discussed in [ref] (see also [ref] for the $N=1$ analogue).
Consistent supersymmetric Kaluza--Klein truncations with massive modes · $𝒩=2$ supersymmetry · 0.97
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