Damghan University Press Journal of Holography Applications in Physics 2783-4778 6 3 2026 03 19 Particle Physics: A Crash Course for Mathematicians 97 136 2078 10.22128/jhap.2025.3101.1146 EN Veronica Pasquarella Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS), Shanghai, 200433, China; Research Institute of Intelligent Complex Systems, Fudan University, Shanghai 200433, China; Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cam bridge, Wilberforce Road, CB3 0WA, Cambridge, UK 0000-0002-3276-0341 Journal Article 2025 10 13 This introductory work combines bottom-up and top-down approaches towards understanding the underlying categorical structure of possible unifying theories descending from string theory. Guided by well-established developments in the realm of categorical algebraic geometry and topological holography, we explain why abelianisation could potentially lead to furthering the understanding of how to embed Beyond the Standard Model scenarios in supersymmetric setups. Quantum Field Theory Topological Holography Category Theory Quiver Varieties Abelianisation https://jhap.du.ac.ir/article_2078_0092778ef9bce9f647076b196cc887f7.pdf