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arXiv · 2609.29135

Anomaly in baryon number

Yutaka Hosotani
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Abstract

Chiral anomalies in baryon and lepton number currents in the GUT-inspired $SO(5) \times U(1) \times SU(3)$ gauge-Higgs unification model in the Randall-Sundrum (RS) warped space are examined. Total anomalies including contributions of all Kaluza-Klein (KK) excited modes of fermions running along internal triangular loops are expressed in terms of the values of wave functions of gauge-boson KK towers at the ultraviolet (UV) and infrared (IR) branes in the RS space. The covariant divergence of 5D baryon number current picks up an anomaly term proportional to ${\rm Tr} \,F_{μν} \tilde F^{μν} |_{SU(2)_L} - {\rm Tr} \, F_{μν} \tilde F^{μν} |_{SU(2)_R}$ at the UV and IR branes where $SU(2)_L \times SU(2)_R$ is a subgroup of $SO(5)$.

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Yutaka Hosotani. 2026-09-24. Anomaly in baryon number. https://arxiv.org/abs/2609.29135

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