Ju l 2 00 3 UPR-1017-T SU ( 4 ) Instantons on Calabi-Yau Threefolds with Z 2 × Z 2 Fundamental Group
Ju l 2 00 3 UPR-1017-T SU ( 4 ) Instantons on Calabi-Yau Threefolds with Z 2 × Z 2 Fundamental Group
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Jul l 2 00 3 UPR-1017-T SU ( 4 ) Calabi-Yau 三重上的瞬子与 Z 2 × Z 2 基本群
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
René Reinbacher
中科院分区：
文献类型：
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作者：
R. Donagi;B. Ovrut;T. Pantev;René Reinbacher
给出了在具有Z2×Z2基本群的环面纤维Calabi-Yau三重Z上压缩的弱耦合和强耦合杂化超弦理论的结构群SU(4)规范真空.这是通过在Z的单连通覆盖上构造不变的、稳定的、全纯的四阶向量丛来实现的。这样的丛既可以下降到Z上的Hermite-Yang-Mills瞬子，也可以下降到满足非平坦B场修正的Hermite-Yang-Mills方程的扭曲规范场。结果表明，这类瞬子的大族满足粒子物理唯象施加的约束。给出了这些族的离散参数空间，以及任意这类真空的连续模的一个下界。结合Z2×Z2威尔逊线，这些SU(4)规范真空可以在低能下产生类标准模型，并具有额外的U(1)B−L对称性。这种U(1)B−L对称性对自然抑制核子衰变非常有帮助。
Structure group SU(4) gauge vacua of both weakly and strongly coupled heterotic superstring theory compactified on torus-fibered Calabi-Yau threefolds Z with Z2×Z2 fundamental group are presented. This is accomplished by constructing invariant, stable, holomorphic rank four vector bundles on the simply connected cover of Z. Such bundles can descend either to Hermite-Yang-Mills instantons on Z or to twisted gauge fields satisfying the Hermite-Yang-Mills equation corrected by a non-trivial flat B-field. It is shown that large families of such instantons satisfy the constraints imposed by particle physics phenomenology. The discrete parameter spaces of those families are presented, as well as a lower bound on the dimension of the continuous moduli of any such vacuum. In conjunction with Z2 × Z2 Wilson lines, these SU(4) gauge vacua can lead to standard-like models at low energy with an additional U(1)B−L symmetry. This U(1)B−L symmetry is very helpful in naturally suppressing nucleon decay.