This paper explores the behavior of F-theory, M-theory, and Type IIA string theory compactified on a Calabi-Yau four-fold with isolated singularities. The authors analyze the vacuum and soliton structure of these theories, focusing on the emergence of massless chiral superfields and superpotentials near singularities. They show that in two or three dimensions, this often leads to nontrivial superconformal field theories, with some theories identified as Kazama-Suzuki models, such as the $\mathcal{N}=2$ minimal models. The paper also discusses the classification of vacua, the behavior near singularities, and the interpretation of constraints on the $G$-field, which is crucial for understanding the dynamics of these theories. The authors provide examples and analogs for Type IIA and F-theory, highlighting the importance of these theories in understanding conformal field theories and the role of singularities in string theory.This paper explores the behavior of F-theory, M-theory, and Type IIA string theory compactified on a Calabi-Yau four-fold with isolated singularities. The authors analyze the vacuum and soliton structure of these theories, focusing on the emergence of massless chiral superfields and superpotentials near singularities. They show that in two or three dimensions, this often leads to nontrivial superconformal field theories, with some theories identified as Kazama-Suzuki models, such as the $\mathcal{N}=2$ minimal models. The paper also discusses the classification of vacua, the behavior near singularities, and the interpretation of constraints on the $G$-field, which is crucial for understanding the dynamics of these theories. The authors provide examples and analogs for Type IIA and F-theory, highlighting the importance of these theories in understanding conformal field theories and the role of singularities in string theory.