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Symmetry lowering on the field-induced commensurate phase in CeRhIn$_5$

Temperature dependence of the $^{115}$In-NMR spectra of CeRhIn$_5$ is studied with the external magnetic fields 10$^\circ$ off the [100] and [001] axes. Our detailed analyses confirm that the AFM3 phase breaks the four-fold spin symmetry with the commensurate ordering vector of $Q = (0.5, 0.5,0.25)$. Based on the observation of anistropic hyperfine fields, we also propose the symmetry lowering of the electronic structure in the AFM3 phase.