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PreprintCC BY 4.0arXiv

Anomaly in baryon number

Abstract

Chiral anomalies in baryon and lepton number currents in the GUT-inspired SO(5) × U(1) × 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 Tr Fμν F̃μν |SU(2)L − Tr Fμν F̃μν |SU(2)R at the UV and IR branes where SU(2)L × SU(2)R is a subgroup of SO(5).

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BibTeX
@misc{hosotani2026anomaly,
  title = {{Anomaly in baryon number}},
  author = {Yutaka Hosotani},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.29135},
  eprint = {2609.29135},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29135},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Anomaly in baryon number
AU  - Yutaka Hosotani
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2609.29135
UR  - https://arxiv.org/abs/2609.29135
AB  - Chiral anomalies in baryon and lepton number currents in the GUT-inspired SO(5) × U(1) × 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 Tr F_μν F̃^μν |_SU(2)_L − Tr F_μν F̃^μν |_SU(2)_R at the UV and IR branes where SU(2)_L × SU(2)_R is a subgroup of SO(5).
ER  -