Brane Dynamics and 3D Seiberg Duality on the Domain Walls of 4D N=1 SYM

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-dimensional N=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 of N=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 other N=1 CS theories with extra matter in the adjoint and fundamental representations of the gauge group.

25 pages, 5 figures

References in corpus (4)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Seiberg Duality in Chern-Simons Theory
• Interactions of Domain Walls of SUSY Yang-Mills as D-Branes

Cited by in corpus (21)

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• Living on the walls of super-QCD
• $\mathcal{N}=1$ dualities in 2+1 dimensions
• ABJ(M) and Fractional M2's with Fractional M2 Charge
• An $\mathcal{N}=1$ 3d-3d Correspondence
• N=1 Chern-Simons theories, orientifolds and Spin(7) cones
• ABJ Wilson loops and Seiberg Duality
• Level-Rank Duality in Chern-Simons Theory from a Non-Supersymmetric Brane Configuration
• Partonic behavior of string scattering amplitudes from holographic QCD models
• Dualities of Adjoint QCD${}_3$ from Branes
• Non-Supersymmetric Brane Configurations, Seiberg Duality and Dynamical Symmetry Breaking
• Domain Walls in 4d N=1 Supersymmetric Yang-Mills
• R-symmetry and supersymmetry breaking in 3D WZ models
• Mildly Flavoring domain walls in SU(N) SQCD: baryons and monopole superpotentials
• Spin(7) duality for N=1 CS-matter theories
• Generalized Euler Index, Holonomy Saddles, and Wall-Crossing
• Mildly Flavoring Domain Walls in Sp(N) SQCD
• Supersymmetric and non-supersymmetric Seiberg-like dualities for gauged Wess-Zumino-Witten theories, realised on branes
• Defects in Chern-Simons theory, gauged WZW models on the brane, and level-rank duality