Orientifold 4-plane in brane configurations and N=4 USp(2Nc) and SO(Nc) theory

TL;DR

This paper explores brane configurations in elliptic models to represent softly broken N=4 USp(2Nc) and SO(Nc) theories, introducing a generalized O4 plane concept and deriving their Seiberg-Witten curves.

Contribution

It generalizes the O4 plane notion in elliptic models and derives the Seiberg-Witten curves for these theories as series expansions, including polynomial form for USp.

Findings

Derived the curve for softly broken N=4 USp(2Nc) as a polynomial.

Obtained the curve for SO(Nc) theory as an infinite series.

Introduced a generalized O4 plane compatible with elliptic model symmetry.

Abstract

We consider brane configurations in elliptic models which represent softly broken N=4 USp(2 N_c) and SO(N_c) theory. We generalize the notion of the O4 plane, so that it is compatible with the symmetry in the covering space of the elliptic models. By using this notion of the O4 plane, we find the curve for softly broken N=4 USp(2 N_c) and that for SO(N_c) theory as infinite series expansions. For the USp case, we can present the expansion as a polynomial.