This paper explores the behavior of F/M/Type IIA theories compactified on Calabi-Yau four-folds, focusing on the vacuum and soliton structures near isolated singularities. The authors analyze how these theories generate massless chiral superfields and superpotentials, leading to nontrivial superconformal field theories in two or three dimensions. In two dimensions, they identify certain theories with Kazama-Suzuki coset models, such as N=2 minimal models. The study connects different theories through circle compactifications and examines the role of fluxes, branes, and vacuum states. The paper also discusses the classification of vacua, the behavior near singularities, and the implications for supersymmetry and conformal field theories. It highlights the importance of the A-D-E singularities in generating exactly solvable conformal theories and explores the physical interpretation of superpotentials in the context of M-theory and string theory. The results suggest that singularities in compactification geometries can capture a large class of known conformal theories, and that strings in singular geometries may yield equally rich conformal structures in higher dimensions. The paper also discusses the implications for F-theory and Type IIA string theory, showing how the analysis extends to these cases.This paper explores the behavior of F/M/Type IIA theories compactified on Calabi-Yau four-folds, focusing on the vacuum and soliton structures near isolated singularities. The authors analyze how these theories generate massless chiral superfields and superpotentials, leading to nontrivial superconformal field theories in two or three dimensions. In two dimensions, they identify certain theories with Kazama-Suzuki coset models, such as N=2 minimal models. The study connects different theories through circle compactifications and examines the role of fluxes, branes, and vacuum states. The paper also discusses the classification of vacua, the behavior near singularities, and the implications for supersymmetry and conformal field theories. It highlights the importance of the A-D-E singularities in generating exactly solvable conformal theories and explores the physical interpretation of superpotentials in the context of M-theory and string theory. The results suggest that singularities in compactification geometries can capture a large class of known conformal theories, and that strings in singular geometries may yield equally rich conformal structures in higher dimensions. The paper also discusses the implications for F-theory and Type IIA string theory, showing how the analysis extends to these cases.