Interactions of Domain Walls of SUSY Yang-Mills as D-Branes

Abstract

Domain walls in supersymmetric Yang-Mills are BPS configurations which preserve two supercharges of the parent theory and so their tensions are known exactly. On the other hand, they have been described as D-branes for the confining string. This leads to a description of their collective dynamics in terms of a 2+1 -dimensional gauge theory with two supersymmetries and a Chern-Simons term. We show that this open string description can capture the qualitative behaviour of the forces between the domain walls for an arbitrary configuration of n walls at leading order in 1/N, extending earlier calculations for two walls. The potential admits a supersymmetric bound state when the n walls are all coincident and asymptotes to a constant at large separation with an n dependence which agrees perfectly with the exact tension formula.

arXiv comment9 pages, 1 figure

References in corpus (3)

• Branes And The Dynamics Of QCD
• The Cosmological Constant and Domain Walls in Orientifold Field Theories and N=1 Gluodynamics
• Sitting on the Domain Walls of N=1 Super Yang-Mills

Cited by in corpus (8)

• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• Dualities and Phases of 3D N=1 SQCD
• Living on the walls of super-QCD
• Brane Dynamics and 3D Seiberg Duality on the Domain Walls of 4D N=1 SYM
• Strings Inside Walls in N=1 Super Yang-Mills
• Bulk-Brane Duality in Field Theory
• The Hagedorn Temperature and Open QCD-String Tachyons in Pure N=1 Super Yang-Mills
• Theoretical Developments in SUSY