Lagrangians with electric and magnetic charges of N=2 supersymmetric gauge theories

Abstract

General Lagrangians are constructed for N=2 supersymmetric gauge theories in four space-time dimensions involving gauge groups with (non-abelian) electric and magnetic charges. The charges induce a scalar potential, which, when the charges are regarded as spurionic quantities, is invariant under electric/magnetic duality. The resulting theories are especially relevant for supergravity, but details of the extension to local supersymmetry will be discussed elsewhere. The results include the coupling to hypermultiplets. Without the latter, it is demonstrated how an off-shell representation can be constructed based on vector and tensor supermultiplets.

arXiv comment34 pages, LaTex

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Cited by in corpus (20)

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• Gauged Supergravities, Tensor Hierarchies, and M-Theory
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• Gauge Theories, Duality Relations and the Tensor Hierarchy
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• On BPS bounds in D=4 N=2 gauged supergravity II: general matter couplings and black hole masses
• The supersymmetric tensor hierarchy of N=1,d=4 supergravity
• D=4, N=2 Gauged Supergravity coupled to Vector-Tensor Multiplets
• Supergravity and M-Theory
• On the off-shell formulation of N=2 supergravity with tensor multiplets
• The Tensor Hierarchies of Pure N=2,d=4,5,6 Supergravities
• Generalized Geometry and Partial Supersymmetry Breaking
• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity