Abstract
We have used polarized-neutron inelastic scattering to resolve the spin fluctuations in superconducting FeSe${}_{0.5}$Te${}_{0.5}$ into components parallel and perpendicular to the layers. A spin resonance at an energy of 6.5 meV is observed to develop below ${T}_{\mathrm{c}}$ in both fluctuation components. The resonance peak is anisotropic, with the in-plane component slightly larger than the out-of-plane component. Away from the resonance peak, the magnetic fluctuations are isotropic in the energy range studied. The results are consistent with a dominant singlet pairing state with ${s}^{\ifmmode\pm\else\textpm\fi{}}$ symmetry, with a possible minority component of different symmetry.
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