2023/06/22 by Nikita Nekrasov, Nekrasov, Nikita, Nicolò Piazzalunga +1 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Calabi–Yau manifold #Combinatorics #Conformal field theory #Conformal map #Conjecture #Equivariant map #FOS: Mathematics #FOS: Physical sciences #Fibered knot #Gauge theory #Geometry #Graph #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Mathematical physics #Mathematics #Physics #Pure mathematics #Quiver #String theory #Theoretical physics #Vertex (graph theory)
paper · pdf · doi:10.48550/arxiv.2306.12995
openalex publication_date 2023/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The global magnificent four theory is the homological version of a maximally supersymmetric (8+1)-dimensional gauge theory on a Calabi-Yau fourfold fibered over a circle. In the case of a toric fourfold we conjecture the formula for its twisted Witten index. String-theoretically we count the BPS states of a system of D0-D2-D4-D6-D8-branes on the Calabi-Yau fourfold in the presence of a large Neveu-Schwarz B-field. Mathematically, we develop the equivariant K-theoretic DT4 theory, by constructing the four-valent vertex with generic plane partition asymptotics. Physically, the vertex is a supersymmetric localization of a non-commutative gauge theory in 8+1 dimensions.