Buggy Loci as Pathological Subsets of Non-Compact Calabi–Yau Moduli Spaces

We develop a systematic framework for studying Buggy Spaces, anomalous loci that arise in the moduli spaces of non-compact Calabi–Yau manifolds and obstruct standard geometric, categorical, and physical descriptions. These loci appear naturally in toric constructions, orbifold limits, and mirror symmetry, where familiar tools such as derived categories, stability conditions, and enumerative invariants exhibit discontinuities, ambiguities, or outright failure. Rather than treating these phenomena as isolated pathologies, we show that they form a coherent and structurally rich class of moduli-space defects. We introduce precise criteria for identifying Buggy Spaces and propose a classification scheme based on geometric degeneration, categorical instability, and physical inconsistency. Using explicit examples in various dimensions, we demonstrate how Buggy Spaces manifest in both A-model and B-model settings, and how they influence wall-crossing behavior, mirror maps, and the topology of moduli spaces. We further examine their consequences for string theory compactifications and gauge-theory realizations, where Buggy Spaces signal obstructions to naive effective descriptions. Our results indicate that Buggy Spaces encode subtle links between geometry and physics that are invisible in smooth or compact settings. By isolating and organizing these anomalies, we provide a unified perspective on several previously disconnected phenomena in mirror symmetry and string theory. We conclude by outlining open problems and directions for future work, including implications for non-compact moduli stabilization, derived categorical dynamics, and the structure of the string theory landscape.