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DOE OSTI · 2580730

First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System

Guermond, Jean-Luc (ORCID:0000000269746818)·Maier, Matthias·Popov, Bojan·Saavedra, Laura·Tomas, Ignacio
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Guermond, Jean-Luc (ORCID:0000000269746818), Maier, Matthias, Popov, Bojan, Saavedra, Laura, Tomas, Ignacio. 2024-06-27. First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System. https://doi.org/10.1007/s10915-024-02592-4

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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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