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- W3099577554 abstract "We study fermionic fields localized on topologically unstable domain walls bounded by strings in a grand unified theory theoretical framework. Particularly, we found that the localized fermionic degrees of freedom, which are up and down-quarks as well as charged leptons, are connected to three independent N = 2, d = 1 supersymmetric quantum mechanics algebras. As we demonstrate, these algebras can be combined to form higher order representations of N = 2, d = 1 supersymmetry. Due to the uniform coupling of the domain wall solutions to the down-quarks and leptons, we also show that a higher order N = 2, d = 1 representation of the down-quark–lepton system is invariant under a duality transformation between the couplings. In addition, the two N = 2, d = 1 supersymmetries of the down-quark–lepton system, combine at the coupling unification scale to form an N = 4, d = 1 supersymmetry. Furthermore, we present the various extra geometric and algebraic attributes that the fermionic systems acquire, owing to the underlying N = 2, d = 1 algebras." @default.
- W3099577554 created "2020-11-23" @default.
- W3099577554 creator A5021272359 @default.
- W3099577554 date "2013-12-19" @default.
- W3099577554 modified "2023-10-18" @default.
- W3099577554 title "Localized fermions on domain walls and extended supersymmetric quantum mechanics" @default.
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- W3099577554 doi "https://doi.org/10.1088/0264-9381/31/2/025018" @default.
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