Interactions of domain walls of SUSY Yang-Mills as D-branes

Jan, 2006
9 pages
Published in:
  • JHEP 02 (2006) 072
e-Print:
Report number:
  • SWAT-06-456

Citations per year

20062009201220152018012345
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.
  • gauge field theory: Yang-Mills
  • supersymmetry
  • soliton: BPS
  • domain wall: interaction
  • Chern-Simons term
  • perturbation theory: higher-order
  • higher-order: 2
  • expansion 1/N