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Anomaly flow and anomaly cancellation

Yutaka Hosotani*

  • *Contact author: hosotani@rcnp.osaka-u.ac.jp
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Phys. Rev. D 114, 035026 – Published 19 August, 2026

DOI: https://doi.org/10.1103/ds9g-5m21

Abstract

In gauge theory on 5D orbifolds the magnitude of chiral anomalies of 4D gauge fields changes with the value of the Aharonov-Bohm (AB) phase θH in the fifth dimension. Anomaly flows with the AB phase. In particular in the Randall-Sundrum (RS) warped space gauge couplings of 4D fermions depend on bulk mass parameters of 5D fermion multiplets. We show that in the GUT-inspired SO(5)×U(1)×SU(3) gauge-Higgs unification model in the RS warped space the total anomalies including contributions of all Kaluza-Klein excited modes of fermions become universal, being independent of the values of the bulk mass parameters of fermions and expressed in terms of the values of W and Z wave functions at the ultraviolet and infrared branes in the RS space. It is shown that cancellation of gauge anomalies is achieved in each generation even for θH≠0.

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Phys. Rev. D 114, 035026– Published 19 August, 2026
  • Received 3 June 2026
  • Accepted 30 July 2026
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