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Magnificent Four with Colors

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arxiv 1808.05206 v4 pith:CCPYAJHU submitted 2018-08-15 hep-th math-phmath.AGmath.COmath.MPmath.RT

Magnificent Four with Colors

classification hep-th math-phmath.AGmath.COmath.MPmath.RT
keywords theoryfourfunctionmagnificentpartitionrankcalabi-yauchecks
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

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