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DOE OSTI · 2420382

Flow-Based Algorithms for Improving Clusters: A Unifying Framework, Software, and Performance

Fountoulakis, Kimon·Liu, Meng (ORCID:0000000216193797)·Gleich, David F. (ORCID:0000000281076474)·Mahoney, Michael W.
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Fountoulakis, Kimon, Liu, Meng (ORCID:0000000216193797), Gleich, David F. (ORCID:0000000281076474), Mahoney, Michael W.. 2023-02-01. Flow-Based Algorithms for Improving Clusters: A Unifying Framework, Software, and Performance. https://doi.org/10.1137/20m1333055

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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.

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