Abstract
We demonstrate a holographic realization of color-flavor locking phase, using \( \mathcal{N} \) = 4 SU(N c ) SYM coupled to \( \mathcal{N} \) = 2 N f fundamental hypermultiplets as an example. The gravity dual consists of N c D3-branes and N f D7-branes with world volume gauge field representing the baryon density. Treating a small number Ñ c \( \subset \) N c of D3-branes as Yang-Mills instantons on the D7-branes, we consider possible potential(s) on their moduli space or equivalently the Higgs branch. We show that a non-trivial potential can be generated by including the backreaction of the baryonic density on the D7-branes, this dynamically drives the instantons (= D3-branes) into dissolution. We interpret this as a color-flavor locking since the size of the instanton is the squark vev, and study the symmetry breaking patterns. Extending to finite temperature setup, we demonstrate that color-flavor locking persists, and the thermal effect provides additional structures in the phase diagram.
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Chen, HY., Hashimoto, K. & Matsuura, S. Towards a holographic model of color-flavor locking phase. J. High Energ. Phys. 2010, 104 (2010). https://doi.org/10.1007/JHEP02(2010)104
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DOI: https://doi.org/10.1007/JHEP02(2010)104