Two Dimensional Mirror Symmetry From M-theory

Abstract

We construct two dimensional gauge theories with $N=(4,4)$ supersymmetry from branes of type IIA string theory. Quantum effects in the two dimensional gauge theory are analyzed by embedding the IIA brane construction into M-theory. We find that the Coulomb branch of one theory and the Higgs branch of a mirror theory become equivalent at strong coupling. A relationship to the decoupling limit of the type IIA and IIB 5-branes in Matrix theory is shown. T-duality between the ALE metric and the wormhole metric of Callan, Harvey, and Strominger is discussed from a brane perspective and some puzzles regarding string duality resolved. We comment on the existence of a quantum Higgs branch in two dimensional theories. Branes prove to be useful tools in analyzing singular conformal field theories.

21 pages, 3 figures, uses harvmac and epsf

Cited by in corpus (14)

• Brane Dynamics and Gauge Theory
• String theory of the Omega deformation
• AdS${}_3$ solutions in massive IIA, defect CFTs and T-duality
• Brane Box Realization of Chiral Gauge Theories in Two Dimensions
• Relating Gauge Theories via Gauge/Bethe Correspondence
• Kinky D-Strings
• Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory
• Instantons and Emergent AdS_3 x S^3 Geometry
• Calabi-Yau Mirror Symmetry as a Gauge Theory Duality
• Branes and 2d N=(2,2) gauge theories with orthogonal and symplectic groups
• On the Brane Configuration of $N=(4,4)$ 2D supersymmetric gauge theory
• M-Theory and Two-Dimensional Effective Dynamics
• 2d duality for orthogonal gauge theories with 8 supersymmetries
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries