Partition function (quantum field theory)

Quantum mechanics

Philosophy

Pure mathematics

Mathematical physics

Young tableau

Rank (graph theory)

Field theory (psychology)

Computer science

Simple (philosophy)

Instanton

Gauge theory

Physics

Database

Coulomb

Mathematics

Representation theory

Epistemology

Measure (data warehouse)

Combinatorics

Conjecture

Gauge group

Electron

Communications in Mathematical Physics

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.

Magnificent Four with Colors