来自 N 扩展欧拉 - 卡洛杰罗 - 莫泽模型和卡洛杰罗模型的超共形力学
Superconformal mechanics from N-extended Euler-Calogero-Moser and Calogero models
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中文总结 AI 辅助
研究 N 扩展欧拉 - 卡洛杰罗 - 莫泽模型和卡洛杰罗模型双粒子变体，通过平移不变性解耦质心得超共形力学，欧拉 - 卡洛杰罗 - 莫泽模型超对称有意外扩展，卡洛杰罗模型为纯 Osp(N|2)超共形力学，更多费米子可解决相关问题。
中文摘要 AI 辅助
本文考虑了 N 扩展欧拉 - 卡洛杰罗 - 莫泽模型和卡洛杰罗模型的双粒子变体。由于平移不变性，质心（连同相应费米子）可解耦，得到特定超共形力学。额外玻色变量（自旋变量）可轻松纳入超荷和哈密顿量。在欧拉 - 卡洛杰罗 - 莫泽模型中，双粒子情形下超对称意外地从 Osp(N|2)扩展到 SU(1,1|N)超共形对称，而卡洛杰罗模型导致纯 Osp(N|2)超共形力学。解决此路径上已知问题的方法是系统中有更多费米子。
英文摘要
In this paper, we considered two-particle variants of the N-extended Euler-Calogero-Moser and Calogero models. Due the translation invariance, the center of mass can be decoupled (together with the corresponding fermions), leaving us with specific superconformal mechanics. Additional bosonic variables (spin variables) can easily be incorporated into the supercharges and the Hamiltonian. In the case of the Euler-Calogero-Moser model, the supersymmetry in the two-particle cases admits an unexpected extension from Osp(N|2) to SU(1,1|N) superconformal symmetry. The case of the Calogero model leads to purely Osp(N|2) superconformal mechanics. The way to get rid of the well-known problems along this path is to have a higher number of fermions present in the system.
