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arXiv 0710.1192gr-qchep-thmath-phmath.MP
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五维最小超引力的对称性简化为三维

The symmetries of five-dimensional minimal supergravity reduced to three dimensions

Gerard Clement

摘要:

根据原场变量,显式地构造了降维为三维的五维最小超引力目标空间的14个Killing向量。这些向量生成$G_2$的李代数。我们还构造了一个对称的$7\times7$矩阵的陪集$G_{2(+2)}/((SL(2,R)\times SL(2,R))$作为相同的字段的功能代表。

英文摘要:

The 14 Killing vectors of the target space for five-dimensional minimal supergravity reduced to three dimensions are explicitly constructed in terms of the original field variables. These vectors generate the Lie algebra of $G_2$. We also construct a symmetrical $7\times7$ matrix representative of the coset $G_{2(+2)}/((SL(2,R)\times SL(2,R))$ as a function of the same fields.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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