Dimensional reduction over fuzzy coset spaces

Dimensional reduction over fuzzy coset spaces
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模糊陪集空间的降维

DOI:
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发表时间:
2003
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通讯作者:
G. Zoupanos
G. Zoupanos
中科院分区:
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作者:
Paolo Aschieri;P. Aschieri;John Madore;P. Manousselis;G. Zoupanos;G. Zoupanos;G. Zoupanos

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我们研究规范理论闵可夫斯基时空倍模糊陪集空间。这意味着额外的空间维度不是连续陪集空间S/R,而是相应的有限矩阵近似。定义在这个非对易系统上的规范理论被降维到四维,并建立了相应的降维规则。我们调查特别是模糊球的情况下,包括费米子场的降维。
We examine gauge theories on Minkowski space-time times fuzzy coset spaces. This means that the extra space dimensions instead of being a continuous coset space S/R are a corresponding finite matrix approximation. The gauge theory defined on this non-commutative setup is reduced to four dimensions and the rules of the corresponding dimensional reduction are established. We investigate in particular the case of the fuzzy sphere including the dimensional reduction of fermion fields.