Brane dynamics and 3D Seiberg duality on the domain walls of 4DN = 1 SYM

Adi Armoni*, Amit Giveon, Dan Isräel, Vasilis Niarchos

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

We study a three-dimensional U(k) Yang-Mills Chern-Simons theory with adjoint matter preserving two supersymmetries. According to Acharya and Vafa, this theory describes the low-energy worldvolume dynamics of BPS domain walls in four-dimensionalN = 1 SYM theory. We demonstrate how to obtain the same theory in a brane configuration of type IIB string theory that contains threebranes and fivebranes. A combination of string and field theory techniques allows us to re-formulate some of the well-known properties ofN = 1 SYM domain walls in a geometric language and to postulate a Seiberg-like duality for the Acharya-Vafa theory. In the process, we obtain new information about the dynamics of branes in setups that preserve two supersymmetries. Using similar methods we also study otherN = 1 CS theories with extra matter in the adjoint and fundamental representations of the gauge group.

Original languageAmerican English
Article number061
JournalJournal of High Energy Physics
Volume2009
Issue number7
DOIs
StatePublished - 2009
Externally publishedYes

Keywords

  • Brane Dynamics in Gauge Theories
  • Duality in Gauge Field Theories
  • Supersymmetry and Duality

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