Five-dimensional super Yang-Mills theory from ABJM theory

Understand

We derive five-dimensional super Yang-Mills theory from mass-deformed ABJM theory by expanding about $S^2$ for large Chern-Simons level $K$.

• We obtain the Yang-Mills coupling constant $g_{YM}^2 = 4\pi^2 R/K$.
• If we consider $S^3/{\mb{Z}_K}$ as a fiber bundle over $S^2$ then $R/K$ is the circumference of the fiber.
• The value on the coupling constant agrees with what one gets by compactifying M five-brane on that fiber.