Orthosymplectic Superinstanton Counting and Brane Dynamics

We extend the study of superinstantons presented in 1905.01513 to include orthosymplectic supergroup gauge theories, $B_{n_0\mathrm{\mid }{n}_1}$, $C_n$, and $D_{n_0\mathrm{\mid }{n}_1}$. We utilize equivariant localization to obtain the LMNS contour integral formula for the instanton partition function, and we investigate the Seiberg–Witten geometries associated with these theories. We also explore the brane configurations involving positive and negative branes together with O-planes that realize the orthosymplectic supergroup theories.