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DOE OSTI · 2422115

Splitting-up Spectral Method for Nonlinear Filtering Problems with Correlation Noises

Zhang, Fengshan·Zou, Yongkui·Chai, Shimin·Zhang, Ran·Cao, Yanzhao (ORCID:0000000323103435)
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Zhang, Fengshan, Zou, Yongkui, Chai, Shimin, Zhang, Ran, Cao, Yanzhao (ORCID:0000000323103435). 2022-09-05. Splitting-up Spectral Method for Nonlinear Filtering Problems with Correlation Noises. https://doi.org/10.1007/s10915-022-01994-6

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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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