Consistency Conditions for Fivebrane in M Theory on R^5/Z_2 Orbifold

TL;DR

This paper establishes consistency conditions for fivebranes in M theory on R^5/Z_2 orbifolds, constructing configurations that replicate N=2 SQCD dynamics and proposing M theory realizations of orientifold four-planes.

Contribution

It derives new consistency conditions for fivebranes in M theory on orbifolds and constructs configurations matching low-energy gauge theories, proposing M theory realizations of orientifold planes.

Findings

Constructed consistent fivebrane configurations in R^5/Z_2 orbifold.

Proposed M theory realization of various orientifold four-planes.

Demonstrated the configurations reproduce N=2 SQCD dynamics.

Abstract

We derive some consistency conditions for fivebrane in M theory on R^5/Z_2 orbifold from the quantization law for the antisymmetric tensor field. We construct consistent fivebrane configurations in R^5/Z_2 type orbifold that exhibit the correct low energy dynamics of N=2 SQCD in four dimensions with symplectic and orthogonal gauge groups. This leads us to propose the M theory realization of orientifold four-planes of various types, and we study their properties by applying the consistency conditions.