Sitting on the domain walls of N=1 super Yang-Mills

May, 2005
18 pages
Published in:
  • JHEP 07 (2005) 043
e-Print:
Report number:
  • SWAT-05-433

Citations per year

20052009201320172019012345
Abstract:
In pure N=1 supersymmetric Yang-Mills with gauge group SU(N), the domain walls which separate the N vacua have been argued, on the basis of string theory realizations, to be D-branes for the confining string. In a certain limit, this means that a configuration of k parallel domain walls is described by a 2+1-dimensional U(k) gauge theory. This theory has been identified by Acharya and Vafa as the U(k) gauge theory with 4 supercharges broken by a Chern-Simons term of level N in such a way that 2 supercharges are preserved. We argue further that the gauge coupling of the domain wall gauge theory goes like g^2 ~ Lambda/N, for large N. In the case of two domain walls, we show that the U(2) world-volume theory generates a quadratic potential on the Coulomb branch at two loops in perturbation theory which is consistent with there being a supersymmetric bound state of the two wall system. A mass gap of order Lambda/N is generated around the supersymmetric minimum and we estimate the size of the bound-state to be order Lambda/ \sqrt N. At large distance the potential reaches a constant that can qualitatively account for the binding energy of the two walls even though stringy effects are not, strictly speaking, decoupled.
  • gauge field theory: SU(N)
  • supersymmetry
  • vacuum state
  • domain wall
  • string model
  • string: open
  • string: closed
  • duality
  • membrane model: D-brane
  • perturbation theory: higher-order