Magnificent Four with Colors
High Energy Physics - Theory
2020-04-14 v4 Mathematical Physics
Algebraic Geometry
Combinatorics
math.MP
Representation Theory
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.
Keywords
Cite
@article{arxiv.1808.05206,
title = {Magnificent Four with Colors},
author = {Nikita Nekrasov and Nicolo' Piazzalunga},
journal= {arXiv preprint arXiv:1808.05206},
year = {2020}
}
Comments
v4: fixed two typos