Anomaly in baryon number

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 $\mathrm{Tr}{F}_{\mu \nu }{\tilde{F}}^{\mu \nu }{|}_{SU(2{)}_L}-\mathrm{Tr}{F}_{\mu \nu }{\tilde{F}}^{\mu \nu }{|}_{SU(2{)}_R}$ at the UV and IR branes where $SU(2{)}_L\times SU(2{)}_R$ is a subgroup of $SO(5)$.

31 pages, 1 figure