---
res:
  bibo_abstract:
  - "Context. Space asteroseismology is revolutionizing our knowledge of the internal
    structure and dynamics of stars. A breakthrough is ongoing with the recent discoveries
    of signatures of strong magnetic fields in the core of red giant stars. The key
    signature for such a detection is the asymmetry these fields induce in the frequency
    splittings of observed dipolar mixed gravito-acoustic modes.\r\nAims. We investigate
    the ability of the observed asymmetries of the frequency splittings of dipolar
    mixed modes to constrain the geometrical properties of deep magnetic fields.\r\nMethods.
    We used the powerful analytical Racah-Wigner algebra used in quantum mechanics
    to characterize the geometrical couplings of dipolar mixed oscillation modes with
    various realistically plausible topologies of fossil magnetic fields. We also
    computed the induced perturbation of their frequencies.\r\nResults. First, in
    the case of an oblique magnetic dipole, we provide the exact analytical expression
    of the asymmetry as a function of the angle between the rotation and magnetic
    axes. Its value provides a direct measure of this angle. Second, considering a
    combination of axisymmetric dipolar and quadrupolar fields, we show how the asymmetry
    is blind to the unraveling of the relative strength and sign of each component.
    Finally, in the case of a given multipole, we show that a negative asymmetry is
    a signature of non-axisymmetric topologies.\r\nConclusions. Asymmetries of dipolar
    mixed modes provide a key bit of information on the geometrical topology of deep
    fossil magnetic fields, but this is insufficient on its own. Asteroseismic constraints
    should therefore be combined with spectropolarimetric observations and numerical
    simulations, which aim to predict the more probable stable large-scale geometries.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: S.
      foaf_name: Mathis, S.
      foaf_surname: Mathis
  - foaf_Person:
      foaf_givenName: Lisa Annabelle
      foaf_name: Bugnet, Lisa Annabelle
      foaf_surname: Bugnet
      foaf_workInfoHomepage: http://www.librecat.org/personId=d9edb345-f866-11ec-9b37-d119b5234501
    orcid: 0000-0003-0142-4000
  bibo_doi: 10.1051/0004-6361/202346832
  bibo_volume: 676
  dct_date: 2023^xs_gYear
  dct_identifier:
  - UT:001046037700007
  dct_isPartOf:
  - http://id.crossref.org/issn/0004-6361
  - http://id.crossref.org/issn/1432-0746
  dct_language: eng
  dct_publisher: EDP Sciences@
  dct_title: 'Asymmetries of frequency splittings of dipolar mixed modes: A window
    on the topology of deep magnetic fields@'
...