The mesonic spectrum of a supersymmetric color superconductor contains type II Goldstone modes with quadratic dispersion, a pseudo-Goldstone of mass 2Mq, and extra gapless modes from supersymmetric moduli.
Towards a Holographic Quark Matter Crystal
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abstract
We construct the gravity dual of $d=4$, $\mathcal{N}=4$, SU($N_\rm{c}$) super Yang-Mills theory, coupled to $N_\rm{f}$ flavors of dynamical quarks, at non-zero temperature $T$ and non-zero quark density $N_\rm{q}$. The supergravity solutions possess a regular horizon if $T>0$ and include the backreaction of $N_\rm{c}$ color D3-branes and $N_\rm{f}$ flavor D7-branes with $N_\rm{q}$ units of electric flux on their worldvolume. At zero temperature the solutions interpolate between a Landau pole singularity in the ultraviolet and a Lifshitz geometry in the infrared. At high temperature the thermodynamics is directly sensitive to the Landau pole, whereas at low temperature it is not, as expected from effective field theory. At low temperature and sufficiently high charge density we find thermodynamic and dynamic instabilities towards the spontaneous breaking of translation invariance.
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Spectrum of a Supersymmetric Color Superconductor
The mesonic spectrum of a supersymmetric color superconductor contains type II Goldstone modes with quadratic dispersion, a pseudo-Goldstone of mass 2Mq, and extra gapless modes from supersymmetric moduli.