R.S.K. Nielsen

Breaking SUSY in AdS / CFT

We study various two-point functions in certain defect versions of $\mathcal{N}=4$ super Yang Mills theory. These defect theories are obtained by insertion of a D7 probe-brane, with either $Ad{S}_4\times S^2\times S^2$ or $Ad{S}_4\times S^4$ geometry, into the standard D3 brane configura- tion of AdS / CFT. The $\mathcal{N}=4$ SYM theories, arising from the decoupling limit of these brane configurations, have non-zero vacuum expectation values (vevs) for the scalar fields ${\varphi }_i$. These non-zero vevs breaks super symmetry completely and conformal sym- metry partially, thus presenting us with an interesting opportunity to make non-trivial tests of the AdS / CFT duality.