تقرير
Massive Nambu-Goldstone Fermions and Bosons for Non-relativistic Superconformal Symmetry: Jackiw-Pi Vortices in a Trap
| العنوان: | Massive Nambu-Goldstone Fermions and Bosons for Non-relativistic Superconformal Symmetry: Jackiw-Pi Vortices in a Trap |
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| المؤلفون: | Fujimori, Toshiaki, Nitta, Muneto, Ohashi, Keisuke |
| المصدر: | Prog Theor Exp Phys (2020) |
| سنة النشر: | 2017 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | We discuss a supersymmetric extension of a non-relativistic Chern-Simons matter theory, known as the SUSY Jackiw-Pi model, in a harmonic trap. We show that the non-relativistic version of the superconformal symmetry, called the super-Schr\"odinger symmetry, is not spoiled by an external field including the harmonic potential. It survives as a modified symmetry whose generators have explicit time dependences determined by the strength of the trap, the rotation velocity of the system and the fermion number chemical potential. We construct 1/3 BPS states of trapped Jackiw-Pi vortices preserving a part of the modified superconformal symmetry and discuss fluctuations around static BPS configurations. In addition to the bosonic massive Nambu-Goldstone modes, we find that there exist massive Nambu-Goldstone fermions associated with broken modified super-Schr\"odinger symmetry generators. Furthermore, we find that eigenmodes form supermultiplets of a modified supersymmetry preserved by the static BPS backgrounds. As a consequence of the modified supersymmetry, infinite towers of explicit spectra can be found for eigenmodes correspond- ing to bosonic and fermionic lowest Landau levels. Comment: 24 pages, 5 figures, references added |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1093/ptep/ptaa052 |
| الوصول الحر: | http://arxiv.org/abs/1712.09974Test |
| رقم الانضمام: | edsarx.1712.09974 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1093/ptep/ptaa052 |
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