Abstract
We consider the expectation value of Wilson lines in two defect versions of N=4 SYM, both with supersymmetry completely broken, where one is described in terms of an integrable boundary state, the other one not. For both cases, imposing a certain double scaling limit, we find agreement to two leading orders between the expectation values calculated from respectively the field theory- and the string theory side of the AdS/dCFT correspondence.
Highlights
Understanding the interplay between supersymmetry and integrability in the AdS/CFT correspondence might hold the key to understanding the deeper reason for the integrability of the systems involved
Motivated by such considerations we will be pursuing a line of investigation which involves breaking the supersymmetry of N = 4 SYM in a simple way by introducing a domain wall, a co-dimension one defect, separating two regions of space-time with different vacuum expectation values for the scalar fields
A double scaling limit, invented for a related supersymmetric D3-D5 probe brane set-up in [5] and generalized to the the two relevant D3-D7 probe brane set-ups in [6] will allow us to compare the results of the two calculations
Summary
Understanding the interplay between supersymmetry and integrability in the AdS/CFT correspondence might hold the key to understanding the deeper reason for the integrability of the systems involved. Motivated by such considerations we will be pursuing a line of investigation which involves breaking the supersymmetry of N = 4 SYM in a simple way by introducing a domain wall, a co-dimension one defect, separating two regions of space-time with different vacuum expectation values (vevs) for the scalar fields. We find agreement between the gauge- and string theory result to two leading orders in the double scaling parameter for both of the non-supersymmetric set-ups and in particular both for the integrable and the non-integrable case.
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