We present results of a microscopic calculation using NJL-type model of possible spin-one pairings in two flavor quark matter for applications in compact star phenomenology .
We focus on the color-spin locking phase ( CSL ) in which all quarks pair in a symmetric way , in which color and spin rotations are locked .
The CSL condensate is particularly interesting for compact star applications since it is flavor symmetric and could easily satisfy charge neutrality .
Moreover , the fact that in this phase all quarks are gapped might help to suppress the direct Urca process , consistent with cooling models .
The order of magnitude of these small gaps ( \simeq 1 MeV ) will not influence the EoS , but their also small critical temperatures ( T _ { c } \simeq 800 keV ) could be relevant in the late stages neutron star evolution , when the temperature falls below this value and a CSL quark core could form .

\PACS 12.38.Mh 24.85.+p 26.60.+c 97.60.Jd