SISSA Preprints

Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization

Show simple item record An, Ok Song 2017-03-16T11:13:30Z 2017-03-16T11:13:30Z 2017-03-16
dc.description.abstract We present a systematic approach to supersymmetric holographic renormalization for a generic 5D N = 2 gauged supergravity theory with matter multiplets, including its fermionic sector, with all gauge fields consistently set to zero. We determine the complete set of supersymmetric local boundary counterterms, including the finite counterterms that parameterize the choice of supersymmetric renormalization scheme. This allows us to derive holographically the superconformal Ward identities on a generic background, including the Weyl and super-Weyl anomalies. Moreover, we show that these anomalies satisfy the Wess-Zumino consistency condition. The super-Weyl anomaly implies that the fermionic operators of the dual field theory, such as the supercurrent, do not transform as tensors under rigid supersymmetry on backgrounds that admit a Killing spinor, and their anticommutator with the conserved supercharge contains anomalous terms. This property is explicitly checked for a toy model. Finally, using the anomalous transformation of the supercurrent, we obtain the anomaly-corrected supersymmetry algebra on curved backgrounds admitting a Killing spinor. en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries SISSA;13/2017/FISI
dc.title Anomaly-corrected supersymmetry algebra and supersymmetric holographic renormalization en_US
dc.type Preprint en_US
dc.miur.area 2 en_US
dc.contributor.area Physics en_US

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