Dai-Freed anomalies in particle physics
Dai-Freed anomalies in particle physics
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DOI：
10.1007/jhep08(2019)003
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发表时间：
2018-07
影响因子：
5.4
通讯作者：
Inaki Garc'ia-Etxebarria;M. Montero
中科院分区：
文献类型：
--
作者：
Inaki Garc'ia-Etxebarria;M. Montero
利用Dai-Freed定理可以很好地分析反常现象。在这个框架中，考虑对传统反常抵消条件的改进是很自然的，这有时会导致费米子谱中不平凡的额外约束。我们在各种物理兴趣理论中分析了这些更精细的反常抵消条件，包括标准模型以及SU(5)和Spin(10)Guts，我们发现它们是没有反常的。在离散对称性方面，我们发现重子三重子的ℤ9反常只有在代数为3的倍数时才被抵消。假设存在某种无反常的ℤ4对称性，我们将标准模型每代有16个费米子的事实--包括右手中微子--与四维拓扑超导体中边界态时间反转下的反常联系起来。对于MSSM也存在类似的关系，只是这一次涉及到Goginos和Higgsinos的个数，而且对于具有两个Higgs二重态的SU(3)×SU(2)×U(1)规范群来说，它是非平凡的且值得注意的。我们将我们发现的约束与著名的Ibañez-Ross约束联系起来，并讨论了该结构对UV数据的依赖。最后，我们对四维K-理论θ角的(非)存在性进行了评论。
Anomalies can be elegantly analyzed by means of the Dai-Freed theorem. In this framework it is natural to consider a refinement of traditional anomaly cancellation conditions, which sometimes leads to nontrivial extra constraints in the fermion spectrum. We analyze these more refined anomaly cancellation conditions in a variety of theories of physical interest, including the Standard Model and the SU (5) and Spin (10) GUTs, which we find to be anomaly free. Turning to discrete symmetries, we find that baryon triality has a ℤ 9 anomaly that only cancels if the number of generations is a multiple of 3. Assuming the existence of certain anomaly-free ℤ 4 symmetry we relate the fact that there are 16 fermions per generation of the Standard model—including right-handed neutrinos—to anomalies under time-reversal of boundary states in four-dimensional topological superconductors. A similar relation exists for the MSSM, only this time involving the number of gauginos and Higgsinos, and it is non-trivially, and remarkably, satisfied for the SU (3)× SU (2)× U (1) gauge group with two Higgs doublets. We relate the constraints we find to the well-known Ibañez-Ross ones, and discuss the dependence on UV data of the construction. Finally, we comment on the (non-) existence of K-theoretic θ angles in four dimensions.