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

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Abstract

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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Acknowledgments

Financial support by the Research Committee of the Technological Education Institute of Central Macedonia, under grant SAT/ME/201113-23/05, is gratefully acknowledged.

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Kleidis, K., Oikonomou, V.K. Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around Non-Abelian Vortices. Int J Theor Phys 53, 2623–2635 (2014). https://doi.org/10.1007/s10773-014-2060-6

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