Interactions of domain walls of SUSY Yang-Mills as D-branes
Jan, 20069 pages
Published in:
- JHEP 02 (2006) 072
e-Print:
- hep-th/0601150 [hep-th]
Report number:
- SWAT-06-456
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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
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