Non-Abelian global strings at chiral phase transition

We construct non-Abelian global string solutions in the U(N)L×U(N)R linear sigma model. These strings are the most fundamental objects which are expected to form during the chiral phase transitions, because the Abelian η′ string is marginally decomposed into N of them. We point out Nambu-Goldstone modes of CPN−1 for breaking of SU(N)V arise around a non-Abelian vortex.