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arXiv · 1808.05206

Magnificent Four with Colors

Nikita Nekrasov·Nicolo' Piazzalunga
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Abstract

We study the rank N magnificent four theory, which is the supersymmetric localization of U(N) super-Yang-Mills theory with matter (a super-group U(N|N) gauge theory) on a Calabi-Yau fourfold. Our theory contains the higher rank Donaldson-Thomas theory of threefolds. We conjecture an explicit formula for the partition function Z, and report on the performed checks. The partition function Z has a free field representation. Surprisingly, it depends on the Coulomb and mass parameters in a simple way. We also clarify the definition of the instanton measure.

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Nikita Nekrasov, Nicolo' Piazzalunga. 2018-08-15. Magnificent Four with Colors. https://doi.org/10.1007/s00220-019-03426-3

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