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Higher-Dimensional Unified Theories with Continuous and Fuzzy Coset Spaces as Extra Dimensions

机译:具有连续和模糊陪集空间作为额外维度的高维统一理论

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We review the Coset Space Dimensional Reduction (CSDR) scheme and thebest model constructed so far. Then we present some details of an alternative CSDRprogramme, in which the extra dimensions are considered to be fuzzy. Specifically,we present a four-dimensional N = 4 SYM theory, orbifolded by Z3, which mimicsthe behaviour of a dimensionally reduced N = 1, ten-dimensional gauge theory overa set of fuzzy spheres at intermediate high scales. This leads to the trinification GUTSU(3)3 at slightly lower, which in turn can be spontaneously broken to the MSSM inlow scales.
机译:我们回顾了Coset空间降维(CSDR)方案和迄今为止构建的最佳模型。然后,我们介绍了替代CSDR程序的一些细节,其中多余的维度被认为是模糊的。具体来说,我们提出了一个由Z3折合的四维N = 4 SYM理论,该理论模拟了在一维模糊球体上在中等高尺度上的一维降维N = 1的十维规范理论的行为。这导致三分位数的GUTSU(3)3稍低,进而可以自发地将其分解为低刻度的MSSM。

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