The Exact Mass-Gap of the Supersymmetric CP^{n-1} Sigam Model

Jonathan M. Evans, Timothy J. Hollowood

A formula for the mass-gap of the supersymmetric $\CP^{n-1}$ sigma model ($n>1$) in two dimensions is derived: $m/{\Lambda }_{\overline{\mathrm{MS}}}=\sin (\pi \Delta )/(\pi \Delta )$ where $\Delta =1/n$ and $m$ is th…