N=2 Supersymmetric Gauge Theories, Branes and Orientifolds

TL;DR

This paper derives algebraic curves for N=2 supersymmetric gauge theories with SO(N) and Sp(2N) groups from string theory configurations, revealing new insights into their structure and interactions.

Contribution

It introduces new algebraic curves for theories with product gauge groups using M-theory, expanding the understanding of gauge/string dualities.

Findings

Derived curves for SO(N) and Sp(2N) gauge theories from string configurations.

Identified new curves for theories with product gauge groups.

Highlighted the role of orientifold interactions with NS-fivebranes.

Abstract

Starting with configurations of fourbranes, fivebranes, sixbranes and orientifolds in Type IIA string theory we derive via M-theory the curves solving N=2 supersymmetric gauge theories with gauge groups SO(N) and Sp(2N). We also obtain new curves describing theories with product gauge groups. A crucial role in the discussion is played by the interaction of the orientifolds with the NS-fivebranes.