We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: Quantum corrections in AdS/dCFT

Presented by Matthias Wilhelm, NBI

9 December 2016 13:00 in CM221

In 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.

Contact or for more information