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Maths HEP Lunchtime Seminars: Quantum corrections in AdS/dCFT
Presented by Matthias Wilhelm, NBI
9 December 2016 13:00 in CM221In this talk, we initiate the calculation of quantum corrections in certain 4D defect CFTs. More precisely, we consider N=4 SYM theory with a codimension-one defect separating two regions of space, x_3>0 and x_3<0, where the gauge group is SU(N) and SU(N-k), respectively. This set-up is made possible by some of the real scalar fields acquiring a non-vanishing and x_3-dependent vacuum expectation value for x_3>0. We diagonalise the mass matrix of the defect CFT and we handle the x_3-dependence of the mass terms in the 4D Minkowski space propagators by reformulating these as standard massive AdS_4 propagators. Having set up the framework for quantum corrections, we then apply it in two concrete calculations: the one-loop correction to the one-point function of a chiral primary and the one-loop correction to the expectation value of an infinite straight Wilson line, which yields the particle-interface potential. In both cases, we find perfect agreement with earlier predictions from the dual string theory in a double-scaling limit. This a highly non-trivial test of the gauge-gravity correspondence in a case where both conformal symmetry and supersymmetry are partially broken. The talk is based on 1606.01886, 1608.04754 and 1611.04603.