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arXiv · 2412.17875

Remark on the Emergence of Color Superconductivity for Gauge Theories in General Spacetime Dimensions from simple Holographic Models

Nguyen Hoang Vu
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Abstract

We generalize the concept of holography for the color superconductivity (CSC) phase by considering $d$-dimensional Anti de Sitter (AdS) space instead of the traditional 6 dimensions. The corresponding dual field theory is an arbitrary confining gauge theory with $SU(N_c)$ symmetry, like quantum chromodynamics (QCD) CSC. We then use a holographic model based on Einstein-Maxwell gravity in $d$-dimensional AdS spacetime to study this phenomenon in both confinement and deconfinement phase, study the confinement$-$deconfinement phase transition and the condition for the $N_c=2$ CSC phase with $d=4$ case, one special case from arXiv:2411.05550

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Nguyen Hoang Vu. 2024-12-22. Remark on the Emergence of Color Superconductivity for Gauge Theories in General Spacetime Dimensions from simple Holographic Models. https://arxiv.org/abs/2412.17875

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