A quantum check of AdS/dCFT
Abstract
We build the framework for performing loop computations in the defect version of N = 4 super YangMills theory which is dual to the probe D5D3 brane system with background gaugefield flux. In this dCFT, a codimensionone defect separates two regions of spacetime with different ranks of the gauge group and three of the scalar fields acquire nonvanishing and spacetimedependent vacuum expectation values. The latter leads to a highly nontrivial mass mixing problem between different colour and flavour components, which we solve using fuzzysphere coordinates. Furthermore, the resulting spacetime dependence of the theory's Minkowski space propagators is handled by reformulating these as propagators in an effective AdS _{4}. Subsequently, we initiate the computation of quantum corrections. The oneloop correction to the onepoint function of any local gaugeinvariant scalar operator is shown to receive contributions from only two Feynman diagrams. We regulate these diagrams using dimensional reduction, finding that one of the two diagrams vanishes, and discuss the procedure for calculating the onepoint function of a generic operator from the SU(2) subsector. Finally, we explicitly evaluate the oneloop correction to the onepoint function of the BPS vacuum state, finding perfect agreement with an earlier stringtheory prediction. This constitutes a highly nontrivial test of the gaugegravity duality in a situation where both supersymmetry and conformal symmetry are partially broken.
 Publication:

Journal of High Energy Physics
 Pub Date:
 January 2017
 DOI:
 10.1007/JHEP01(2017)098
 arXiv:
 arXiv:1611.04603
 Bibcode:
 2017JHEP...01..098B
 Keywords:

 AdSCFT Correspondence;
 Supersymmetric gauge theory;
 1/N Expansion;
 High Energy Physics  Theory
 EPrint:
 41 pages