A note on the Holographic model for color superconductivity in d-dimension without confinement phase

TL;DR

This paper extends holographic models of color superconductivity to arbitrary d-dimensional AdS spaces, analyzing the phase without confinement and exploring the equation of state in four dimensions.

Contribution

It generalizes the holographic approach to color superconductivity to d-dimensional AdS spaces without confinement, providing new insights into the phase structure and equations of state.

Findings

Holographic model applied in d-dimensional AdS space for CSC.

Analysis of phase without confinement in holography.

Equation of state for CSC in 4D holographic model.

Abstract

In this note, we will generalize the concept of the holography for the color superconductivity (CSC) phase becomes to d-dimension AdS instead of 6d. The dual field theory live in (d-1)-dimension $SU(N_c)$ and have no confinement phase contradiction with the QCD color superconductivity. And we will try to use holographic model with Einstein-Maxwell gravity in d dimension AdS and we study this phase with $N_c\geq 2$. And after, we will discuss the equation of state of the color superconductivity in $d=4$ case without confinement via holography