Description of a class of superstring compactifications related to semi-simple Lie algebras

Description of a class of superstring compactifications related to semi-simple Lie algebras
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与半单李代数相关的一类超弦紧化的描述

DOI:
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发表时间:
1987
期刊:
影响因子:
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通讯作者:
A. Perelomov
A. Perelomov
中科院分区:
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文献类型:
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作者:
D. Markushevich;M. Olshanetsky;A. Perelomov

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构造了超弦理论中的一类真空位形,它是通过物理维数从10维压缩到4维而得到的。紧化方案涉及到通过有限对称群作用取半单李代数环面的等价物。完整的列表中所产生的行动,由一个Coxeter变换这样的配置。计算了一些具有物理意义的拓扑不变量。
A class of vacuum configurations in the superstring theory obtained by compactification of physical dimensions from ten to four is constructed. The compactification scheme involves taking quotients of tori of semisimple Lie algebras by finite symmetry group actions. The complete list of such configurations arising from actions by a Coxeter transformation is given. Some topological invariants having physical interpretations are calculated.