  We report the detection and characterization of a new magnetospheric star, HD
135348, based on photometric and spectropolarimetric observations. The TESS
light curve of this star exhibited variations consistent with stars known to
possess rigidly rotating magnetospheres (RRMs), so we obtained
spectropolarimetric observations using the Robert Stobie Spectrograph (RSS) on
the Southern African Large Telescope (SALT) at four different rotational
phases. From these observations, we calculated the longitudinal magnetic field
of the star $\langle B_z \rangle$, as well as the Alfv\'en and Kepler radii,
and deduced that this star contains a centrifugal magnetosphere. However, an
archival spectrum does not exhibit the characteristic "double-horned" emission
profile for H$\alpha$ and the Brackett series that has been observed in many
other RRM stars. This could be due to the insufficient rotational phase
coverage of the available set of observations, as the spectra of these stars
significantly vary with the star's rotation. Our analysis underscores the use
of TESS in photometrically identifying magnetic star candidates for
spectropolarimetric follow-up using ground-based instruments. We are evaluating
the implementation of a machine learning classifier to search for more examples
of RRM stars in TESS data.
