${\mathcal N} = 4$ SUPERSYMMETRIC QUANTUM MECHANICS AND HARMONICS

Ivanov, E.

doi:10.1142/s0219887812610063

Int. J. Geom. Methods Mod. Phys.

2012

DOI: 10.1142/s0219887812610063

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${\mathcal N} = 4$ SUPERSYMMETRIC QUANTUM MECHANICS AND HARMONICS

E. Ivanov¹

Abstract: This is an overview of applications of the harmonic variables in N = 4 supersymmetric mechanics, with focusing on some latest results.

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Cited by 2 publications

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Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around Non-Abelian Vortices

Kleidis

Oikonomou

2014

Int J Theor Phys

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Fermionic zero modes around non-abelian vortices are shown that they constitute two N = 2, d = 1 supersymmetric quantum mechanics algebras. These two algebras can be combined under certain circumstances to form a central charge extended N = 4 supersymmetric quantum algebra. We thoroughly discuss the implications of the existence of supersymmetric quantum mechanics algebras, in the quantum Hilbert space of the fermionic zero modes.

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Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around Non-Abelian Vortices

Kleidis

Oikonomou

2014

Int J Theor Phys

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Localized fermions on domain walls and extended supersymmetric quantum mechanics

Oikonomou¹

2013

Class. Quantum Grav.

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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.

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${\mathcal N} = 4$ SUPERSYMMETRIC QUANTUM MECHANICS AND HARMONICS

Abstract: This is an overview of applications of the harmonic variables in N = 4 supersymmetric mechanics, with focusing on some latest results.

Cited by 2 publications

References 24 publications

Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around Non-Abelian Vortices

Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around Non-Abelian Vortices

Localized fermions on domain walls and extended supersymmetric quantum mechanics

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