Magnificent Four with Colors

Nikita Nekrasov; Nicolò Piazzalunga

doi:10.1007/s00220-019-03426-3

Magnificent Four with Colors

Nikita Nekrasov
, Nicolò Piazzalunga

Simons Center for Geometry & Physics

Stony Brook University

Stony Brook University

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

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.

Original language	English
Pages (from-to)	573-597
Number of pages	25
Journal	Communications in Mathematical Physics
Volume	372
Issue number	2
DOIs	https://doi.org/10.1007/s00220-019-03426-3
State	Published - Dec 1 2019

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abstract = "We study the rank N magnificent four theory, which is the supersymmetric localization of U(N) super-Yang{\textendash}Mills theory with matter (a super-group U(N|N) gauge theory) on a Calabi{\textendash}Yau fourfold. Our theory contains the higher rank Donaldson{\textendash}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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N2 - 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.

AB - 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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DO - 10.1007/s00220-019-03426-3

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VL - 372

SP - 573

EP - 597

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Magnificent Four with Colors

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