Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published May 26, 1997 | Submitted
Journal Article Open

Mirror symmetry in three-dimensional gauge theories, SL(2,Z) and D-brane moduli spaces

Abstract

We construct intersecting D-brane configurations that encode the gauge groups and field content of dual N = 4 supersymmetric gauge theories in three dimensions. The duality which exchanges the Coulomb and Higgs branches and the Fayet-Iliopoulos and mass parameters is derived from the SL (2, Z) symmetry of the type IIB string. Using the D-brane configurations we construct explicitly this mirror map between the dual theories and study the instanton corrections in the D-brane world-volume theory via open string instantons. A general procedure to obtain mirror pairs is presented and illustrated. We encounter transitions among different field theories that correspond to smooth movements in the D-brane moduli space. We discuss the relation between the duality of the gauge theories and the level-rank duality of affine Lie algebras. Examples of other dual theories are presented and explained via T-duality and extremal transitions in type II string compactifications. Finally we discuss a second way to study instanton corrections in the gauge theory, by wrapping 5-branes around six-cycles in M-theory compactified on a Calabi-Yau 4-fold.

Additional Information

© 1997 Elsevier. Received 20 December 1996, Accepted 4 February 1997. We would like to thank A. Hanany, K. Intriligator, S. Kachru, H. Nakajima, M. Roček, C. Schweigert and N. Seiberg for discussions. This work is supported in part by NSF grant PHY-951497 and DOE grant DE-AC03-76SF00098. JdB is a fellow of the Miller Institute for Basic Research in Science. Z. Yin is supported in part by a Graduate Research Fellowship of the U.S. Department of Education.

Attached Files

Submitted - 9612131.pdf

Files

9612131.pdf
Files (315.7 kB)
Name Size Download all
md5:48407156a862f9b7db75329c6aaed15d
315.7 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 24, 2023