Branes and 2d N=(2,2) gauge theories with orthogonal and symplectic groups

TL;DR

This paper constructs 2d N=(2,2) supersymmetric gauge theories with orthogonal and symplectic groups using branes and orientifolds, resolving construction puzzles via M-theory and proposing new dualities.

Contribution

It introduces a novel brane-based construction of these gauge theories and explores their dualities, extending to N=(4,4) theories with new conjectures.

Findings

Resolved brane construction puzzles through M-theory lift.

Reproduced low energy properties and dualities in M-brane description.

Proposed new duality conjectures for N=(4,4) theories.

Abstract

We construct two-dimensional N=(2,2) supersymmetric gauge theories with orthogonal and symplectic groups using branes and orientifold planes in Type IIA string theory. A number of puzzles regarding the construction, including the effect of exchanging NS5-branes on an orientifold 2-plane, are resolved by lifting the configurations to M theory. The low energy properties and conjectured dualities of these theories are reproduced in the M-brane description. A similar construction of N=(4,4) theories with orthogonal and symplectic groups leads to new duality conjectures for these theories.