Maths HEP Lunchtime Seminars: On supersymmetric regularization in field theory and holography
4 November 2016 13:00 in CM221
When computing an a priori divergent supersymmetric observable it is crucial to work with a renormalization scheme that preserves supersymmetry, however this may not be easy to identify. I will elaborate on this problem focusing on an intrinsic observable of d=4 SCFT's in curved space. This is defined as a supersymmetric version of the Casimir energy on S^1 x M_3, where M_3 has for instance the topology of a three-sphere, and can be computed using various techniques, including localization. After discussing scheme-independence of the supersymmetric Casimir energy in field theory, I will show how this is reproduced by holography. I will emphasize that the usual holographic renormalization violates a BPS condition, and will prove that restoring the latter requires specific, non-standard counterterms that I will present.