Résumé |
N=4 super-Yang-Mills theory admits domain wall defects that separate vacua with SU(N+k) and SU(N) gauge
symmetry.
The one-point functions of conformal operators in the presence of the defect can be efficiently computed
with the help
of integrability, and are mapped to overlaps of Bethe states and matrix-product states (or generalized Néel
states) in the spin-1/2
Heisenberg model. For the basic k=2 defect the overlaps admit known determinant representations. I will
describe
generalization of these results to arbitrary k, and will also discuss preliminary semiclassical results on the
string side of the
AdS/CFT duality.
Based on 1506.06958, 1512.02532, 1512.02533 |