Geodesic
Global Magni4icence, or: 4G Networks
Symmetry, integrability and geometry: methods and applications, Tome 20 (2024) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: Calabi–Yau fourfold, Donaldson–Thomas, localization.
Mots-clés : vertex 
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     author = {Nikita Nekrasov and Nicol\`o Piazzalunga},
     title = {Global {Magni4icence,} or: {4G} {Networks}},
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Nikita Nekrasov; Nicolò Piazzalunga. Global Magni4icence, or: 4G Networks. Symmetry, integrability and geometry: methods and applications, Tome 20 (2024). http://geodesic.mathdoc.fr/item/SIGMA_2024_20_a105/

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