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arXiv 1401.7848hep-thhep-ph
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在IIB矩阵模型中实现三代标准模型费米子

Realizing three generations of the Standard Model fermions in the type IIB matrix model

Hajime Aoki, Jun Nishimura, Asato Tsuchiya

摘要:

我们讨论了IIB型矩阵模型中的标准模型粒子是如何出现的。特别是,我们关心的是一个建设性的定义的理论,其中我们开始与有限N矩阵,并采取大N限制后。在这种情况下,最近有人指出,在模型中实现手征费米子比从N=无穷大的形式论证中想象的要困难得多,并且引入扭曲因子的矩阵版本是必要的。基于这一新的认识,我们证明了两代标准模型费米子可以通过考虑额外维度中模糊S^2和模糊S^2 * S^2的相当一般的配置来实现。我们还证明了通过压缩出现在该构型中的一个S^2可以得到三代。手征费米子出现在模糊流形与非平凡的汤川耦合到希格斯场的交叉点,这可以从它们的波函数的重叠计算。

英文摘要:

We discuss how the Standard Model particles appear from the type IIB matrix model, which is considered to be a nonperturbative formulation of superstring theory. In particular, we are concerned with a constructive definition of the theory, in which we start with finite-N matrices and take the large-N limit afterwards. In that case, it was pointed out recently that realizing chiral fermions in the model is more difficult than it had been thought from formal arguments at N=infinity and that introduction of a matrix version of the warp factor is necessary. Based on this new insight, we show that two generations of the Standard Model fermions can be realized by considering a rather generic configuration of fuzzy S^2 and fuzzy S^2 * S^2 in the extra dimensions. We also show that three generations can be obtained by squashing one of the S^2's that appear in the configuration. Chiral fermions appear at the intersections of the fuzzy manifolds with nontrivial Yukawa couplings to the Higgs field, which can be calculated from the overlap of their wave functions.

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