Gauge theories on noncommutative $\mathbb{C}{P}^N$ and BPS-like equations

Akifumi Sako, Toshiya Suzuki, Hiroshi Umetsu

We give the Fock representation of a noncommutative $\mathbb{C}{P}^N$ and gauge theories on it. The Fock representation is constructed based on star products given by deformation qua…