DOE OSTI · 2576229
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Yesypenko, Anna (ORCID:0009000814094075), Martinsson, Per-Gunnar (ORCID:0000000210485270). 2024-08-01. SlabLU: a two-level sparse direct solver for elliptic PDEs. https://doi.org/10.1007/s10444-024-10176-x
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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.