A neutral anisotropic quark star model with conformal symmetry

New solution for the Einstein field equations satisfying a neutral anisotropic quark star object is generated. The quark linear equation of state together with the conformal Killing vector (CKV) are used to investigate the behavior and properties of quark stars. The CKV plays an important role in providing the relationship between the two gravitational potentials. The process of combining the CKV and an equation of state has currently led to new realistic solutions. In obtaining the matter variables, one of the gravitational potentials is specified on physical grounds to generate compact star model with physical significance. The generated quark star model undergoes several physical tests for the validity and acceptability. Several realistic physical conditions are found to be satisfied. The model stability in terms of the adiabatic index and equilibrium of the physical forces is satisfied. The behavior of the mass-radius relationship and the surface red shift are well obeyed. Their parameters values are found to be compatible with observations. The gravitational potentials are continuous throughout the interior of the star, and the model's energy conditions are satisfied as well. Quark star models that admit conformal symmetry in the absence of charge are missing in the existing literature.