2018
DOI: 10.1007/jhep12(2018)123
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Dark monopoles and SL(2, ℤ) duality

Abstract: We explore kinetic mixing between two Abelian gauge theories that have both electric and magnetic charges. When one of the photons becomes massive, novel effects arise in the low-energy effective theory, including the failure of Dirac charge quantization as particles from one sector obtain parametrically small couplings to the photon of the other. We maintain a manifest SL(2, Z) duality throughout our analysis, which is the diagonal subgroup of the dualities of the two un-mixed gauge theories.

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Cited by 27 publications
(53 citation statements)
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“…The addition of the K α term introduces magnetic monopoles. The theoretical underpinnings for milli-magnetic monopoles, in the context of kinetic mixings, were discussed in [54], and put on a firmer theoretical foundation later in [80]. Among the theoretical subtleties, in incorporating magnetic monopoles directly in a quantum field theory, is the fact that it is not possible to write a local, Lorentz invariant Lagrangian containing both electric and magnetic charges [81][82][83][84].…”
Section: Milli-magnetic Monopoles and Theoretical Foundationsmentioning
confidence: 99%
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“…The addition of the K α term introduces magnetic monopoles. The theoretical underpinnings for milli-magnetic monopoles, in the context of kinetic mixings, were discussed in [54], and put on a firmer theoretical foundation later in [80]. Among the theoretical subtleties, in incorporating magnetic monopoles directly in a quantum field theory, is the fact that it is not possible to write a local, Lorentz invariant Lagrangian containing both electric and magnetic charges [81][82][83][84].…”
Section: Milli-magnetic Monopoles and Theoretical Foundationsmentioning
confidence: 99%
“…In this formulation, one of the gauge potentials, A α , couples locally to the electric current J α , while the other,Ã α , couples to the magnetic current K α . The Lagrangian density takes the form [80,83,85]…”
Section: Milli-magnetic Monopoles and Theoretical Foundationsmentioning
confidence: 99%
See 3 more Smart Citations