Two Dimensional Mirror Symmetry From M-theory
Abstract
We construct two dimensional gauge theories with 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.
Cite
@article{arxiv.hep-th/9709228,
title = {Two Dimensional Mirror Symmetry From M-theory},
author = {John Brodie},
journal= {arXiv preprint arXiv:hep-th/9709228},
year = {2009}
}
Comments
21 pages, 3 figures, uses harvmac and epsf