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DOE OSTI · 2580008

Bounds for Multistage Mixed-Integer Distributionally Robust Optimization

Bayraksan, Güzin (ORCID:0000000155211313)·Maggioni, Francesca (ORCID:0000000339681934)·Faccini, Daniel·Yang, Ming
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Bayraksan, Güzin (ORCID:0000000155211313), Maggioni, Francesca (ORCID:0000000339681934), Faccini, Daniel, Yang, Ming. 2024-02-13. Bounds for Multistage Mixed-Integer Distributionally Robust Optimization. https://doi.org/10.1137/22m147178x

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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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