MS Seminar (Mathematics - String Theory)

Speaker: Georgios Linardopoulos (Asia Pacific Center for Theoretical Physics (APCTP))
Title: B-type anomaly coefficients of holographic defects
Date (JST): Tue, Jun 25, 2024, 13:30 - 15:00
Place: Seminar Room A
Abstract: Anomaly-free conformal field theories (CFTs), such as N=4 super Yang Mills, are known to develop conformal/Weyl anomalies when placed in curved even-dimensional spacetimes. These anomalies are reflected in the nonzero expectation values of the trace of the energy-momentum/stress tensor. The presence of boundaries in CFTs gives rise to extra anomaly coefficients and extra central charges, which show up in both even and odd dimensions and can be used to classify defect CFTs, much like central charges are used to classify pure CFTs.

This talk is about the computation of anomaly coefficients from the observables of anomaly-free holographic defect CFTs. These are described by (codimension-1) domain wall versions of N = 4 SYM that are holographically dual to the D3-D5 and the D3-D7 probe-brane systems. Starting from the explicit expression of the improved energy-momentum tensor of N = 4 SYM, we will determine its two and three-point functions in the presence of the domain walls and extract the boundary anomaly coefficients, to leading order in perturbation theory. In the same process, we will also determine the two and three-point function of the corresponding displacement operators.