Electric and magnetic charges in N=2 conformal supergravity theories

Abstract

General Lagrangians are constructed for N=2 conformal supergravity theories in four space-time dimensions involving gauge groups with abelian and/or non-abelian electric and magnetic charges. The charges are encoded in the gauge group embedding tensor. The scalar potential induced by the gauge interactions is quadratic in this tensor, and, when the embedding tensor is treated as a spurionic quantity, it is formally covariant with respect to electric/magnetic duality. This work establishes a general framework for studying any deformation induced by gauge interactions of matter-coupled N=2 supergravity theories. As an application, full and residual supersymmetry realizations in maximally symmetric space-times are reviewed. Furthermore, a general classification is presented of supersymmetric solutions in ${\mathrm{AdS}}_2\times S^2$ space-times. As it turns out, these solutions allow either eight or four supersymmetries. With four supersymmetries, the spinorial parameters are Killing spinors of ${\mathrm{AdS}}_2$ that are constant on $S^2$, so that they carry no spin, while the bosonic background is rotationally invariant.

49 pages, typos corrected

References in corpus (11)

• The maximal D=4 supergravities
• Gauged N=4 supergravities
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Static supersymmetric black holes in AdS_4 with spherical symmetry
• New supersymmetric higher-derivative couplings: Full N=2 superspace does not count!
• Off-shell N=2 tensor supermultiplets
• Spontaneous N=2 to N=1 Supersymmetry Breaking in Supergravity and Type II String Theory
• Maximally supersymmetric solutions of D=4 N=2 gauged supergravity
• The N=1 Low-Energy Effective Action of Spontaneously Broken N=2 Supergravities
• Lagrangians with electric and magnetic charges of N=2 supersymmetric gauge theories
• The supersymmetric tensor hierarchy of N=1,d=4 supergravity

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• BPS Black Hole Horizons in N=2 Gauged Supergravity
• On the quantum entropy function in 4d gauged supergravity
• Electric-magnetic deformations of D=4 gauged supergravities
• Supersymmetric Vacua in N=2 Supergravity
• Exceptional Calabi--Yau spaces: the geometry of $\mathcal{N}=2$ backgrounds with flux
• Ungauging black holes and hidden supercharges
• 4d N=2 supergravity observables from Nekrasov-like partition functions
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• On BPS bounds in D=4 N=2 gauged supergravity II: general matter couplings and black hole masses
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• Abelian Hypermultiplet Gaugings and BPS Vacua in N = 2 Supergravity
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• 3D ${\tau }_{RR}$-minimization in AdS${}_4$ gauged supergravity
• Gauged supergravities from M-theory reductions
• Supersymmetric Black Holes in AdS4 from Very Special Geometry
• Vacua scan of $5d$, $N=2$ consistent truncations
• Supersymmetry of the Robinson-Trautman solution
• Hyper-Dilaton Weyl Multiplet of 4D, $\mathcal{N}=2$ Conformal Supergravity