Universality in anomaly flow

Abstract

Abstract Universality in anomaly flow by an Aharonov–Bohm phase θH is shown in the flat M4 × (S1/Z2) spacetime and in the Randall–Sundrum (RS) warped space. We analyze the SU(2) gauge theory with doublet fermions. With orbifold boundary conditions the U(1) part of the gauge symmetry remains unbroken at θH = 0 and π. Chiral anomalies smoothly vary with θH in the RS space. It is shown that the anomaly coefficients associated with this anomaly flow are expressed in terms of the values of the wave functions of the 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.