Interpolating between 4d 𝒩= 1 SCFT supercurrent multiplet anomalies

@misc{panopoulos2026interpolating,
  title = {{Interpolating between 4d $\mathcalN= 1$ SCFT supercurrent multiplet anomalies}},
  author = {Pantelis Panopoulos and Ioannis Papadimitriou},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.04967},
  eprint = {2611.04967},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.04967},
}

TY  - UNPB
TI  - Interpolating between 4d 𝒩= 1 SCFT supercurrent multiplet anomalies
AU  - Pantelis Panopoulos
AU  - Ioannis Papadimitriou
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.04967
UR  - https://arxiv.org/abs/2611.04967
AB  - A renormalized SCFT can be coupled to a number of background off-shell supergravity multiplets, defining different current multiplets and superconformal anomalies. We focus on the relation between the conformal and Ferrara-Zumino multiplets of generic 𝒩= 1 SCFTs in four dimensions, defined respectively by 𝒩= 1 conformal and old-minimal supergravity. We show that the conformal super-gravity partition function, when lifted to a functional of the old-minimal background fields through a suitable Wess-Zumino action, is related to the old-minimal partition function by a local counterterm that we determine explicitly in components. This counterterm interpolates between two different old-minimal supergravity schemes with different superconformal anomalies. Part of the counterterm depends on the old-minimal auxiliary scalar and provides the explicit component form of the super-space counterterm constructed in [1]. However, the full counterterm that interpolates between the two multiplets contains additional terms, independent of the old-minimal auxiliary scalar, which are not present in this superspace counterterm. These additional terms play a key role in the comparison of physical observables between the two multiplets.
ER  -