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We investigate the effect of a spin-density wave (SDW) on $s_{\pm}$superconductivity in Fe-based superconductors. We show that, contrary to thecommon wisdom, no nodes open at the new, reconnected Fermi surfaces when thehole and electron pockets fold down in the SDW state, despite the fact that the$s_{\pm}$ gap changes sign between the two pockets. Instead, the orderparameter preserves its sign along the newly formed Fermi surfaces. Thefamiliar experimental signatures of an $s_{\pm}$ symmetry are still preserved,although they appear in a mathematically different way. For a regular $s$ case($s_{++})$ the nodes do appear in the SDW state. This distinction suggests anovel simple way to experimentally separate an $s_{\pm}$ state from a regular$s$ in the pnictides. We argue that recently published thermal conductivitydata in the coexisting state are consistent with the $s_{\pm},$ but not the$s_{++}$ state.

Coexistence of superconductivity and a spin density wave in pnictides: Gap symmetry and nodal lines