Universality in Anomaly Flow
Universality in Anomaly Flow
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DOI：
10.1093/ptep/ptac084
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发表时间：
2022-04
影响因子：
3.5
通讯作者：
Y. Hosotani
中科院分区：
文献类型：
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作者：
Y. Hosotani
在平坦的M4 ×（S1/Z2）时空和Randall-Sundrum（RS）弯曲空间中，Aharonov-Bohm（AB）相θH的反常流具有普适性。我们分析了SU（2）规范理论与二重费米子。在轨道重边界条件下，规范对称的U（1）部分在θH = 0和π处保持不破缺。手征反常在RS空间中随θH平滑变化。结果表明，与这种异常流相关的异常系数表示在RS空间的UV和IR膜的规范场的波函数的值。反常系数依赖于θH、RS空间的翘曲因子和费米子的轨道折叠边界条件，而不依赖于费米子的体质量参数。
Universality in anomaly flow by an Aharonov-Bohm (AB) phase θH is shown in the flat M4 × (S1/Z2) spacetime and in the Randall-Sundrum (RS) warped space. We analyze SU(2) gauge theory with doublet fermions. With orbifold boundary conditions the U(1) part of gauge symmetry remains unbroken at θH = 0 and π. Chiral anomalies smoothly vary with θH in the RS space. It is shown that anomaly coefficients associated with this anomaly flow are expressed in terms of the values of the wave functions of gauge fields at the UV and IR branes in the RS space. The anomaly coefficients depend on θH, the warp factor of the RS space, and the orbifold boundary conditions for fermions, but not on the bulk mass parameters of fermions.