Eleven-dimensional Lorentz symmetry from SUSY quantum mechanics
Eleven-dimensional Lorentz symmetry from SUSY quantum mechanics
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SUSY 量子力学的十一维洛伦兹对称性
DOI：
10.1088/1126-6708/1998/10/003
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
D. Lowe
中科院分区：
文献类型：
--
作者：
D. Lowe
在适当调节保面积微分同胚群的情况下，光锥规范中的超膜形成了一个具有SU(N)规范对称性的超对称量子力学系统。De Wit、Marquard和Nicolai展示了如何从经典水平上的这些自由度构造十一维洛伦兹生成器。本文将这些考虑推广到量子水平，并证明了代数在大N时接近于前导的非平凡序。建议将这些结果推广到矩阵理论中，将纵向提升实现为大的N重整化群变换。
The supermembrane in light-cone gauge gives rise to a supersymmetric quantum mechanics system with SU(N) gauge symmetry when the group of area preserving diffeomorphisms is suitably regulated. de Wit, Marquard and Nicolai showed how eleven-dimensional Lorentz generators can be constructed from these degrees of freedom at the classical level. In this paper, these considerations are extended to the quantum level and it is shown the algebra closes to leading nontrivial order at large N. A proposal is made for extending these results to Matrix theory by realizing longitudinal boosts as large N renormalization group transformations.