In this paper, we consider the localization of a five-dimensional gravitino field on f(R)-thick branes. We obtain the coupled chiral equations of the Kaluza-Klein(KK) modes of gravitinos with the gauge condition Ψ_z=...In this paper, we consider the localization of a five-dimensional gravitino field on f(R)-thick branes. We obtain the coupled chiral equations of the Kaluza-Klein(KK) modes of gravitinos with the gauge condition Ψ_z= 0. The chiral equations of a gravitino's KK modes are found to be almost identical to those of the Dirac fermion. However, their chiralities are exactly opposite. The chiral KK modes of gravitinos could be localized in some types of f(R)-thick branes on introducing a coupling term. We investigate the localization of a gravitino on three types of f(R)-thick branes through a Yukawa-like coupling term with background scalar fields. It has been shown that all the KK modes of gravitinos cannot be localized in the pure geometric f(R)-thick branes by adding a five-dimensional gravitino mass term. However, for the f(R)-thick branes generated by one or two background scalar fields, only the left-or right-handed zero mode could be localized in the branes, and the massive KK resonant modes are the same for both left-and right-handed gravitinos despite their opposing chiralities. All these results are consistent with those of the five-dimensional Dirac fermion except their chiralities, which may be an important sign to distinguish the gravitino field and the Dirac fermion field.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.11647016,11522541,11705106,and 11305095)the Fundamental Research Funds for the Central Universities(Grant No.lzujbky-2016-k04)
文摘In this paper, we consider the localization of a five-dimensional gravitino field on f(R)-thick branes. We obtain the coupled chiral equations of the Kaluza-Klein(KK) modes of gravitinos with the gauge condition Ψ_z= 0. The chiral equations of a gravitino's KK modes are found to be almost identical to those of the Dirac fermion. However, their chiralities are exactly opposite. The chiral KK modes of gravitinos could be localized in some types of f(R)-thick branes on introducing a coupling term. We investigate the localization of a gravitino on three types of f(R)-thick branes through a Yukawa-like coupling term with background scalar fields. It has been shown that all the KK modes of gravitinos cannot be localized in the pure geometric f(R)-thick branes by adding a five-dimensional gravitino mass term. However, for the f(R)-thick branes generated by one or two background scalar fields, only the left-or right-handed zero mode could be localized in the branes, and the massive KK resonant modes are the same for both left-and right-handed gravitinos despite their opposing chiralities. All these results are consistent with those of the five-dimensional Dirac fermion except their chiralities, which may be an important sign to distinguish the gravitino field and the Dirac fermion field.
