English

R-symmetries, anomalies and non-invertible defects from non-BPS branes

High Energy Physics - Theory 2025-07-02 v2

Abstract

We propose a holographic realization of symmetry operators for symmetries associated to isometries in terms of non-BPS Kaluza-Klein monopoles. Their existence is supported by dualities, and their action can be inferred by consistency with well-known String Theory constructions. We use our proposal to describe the U(1)U(1) superconformal R-symmetry of the Klebanov-Witten 4d N=1\mathcal{N}=1 theory dual to Type IIB String Theory on AdS5×T1,1AdS_5\times T^{1,1}. We precisely reproduce the expectations from field theory, including the 't Hooft self-anomaly of the R-symmetry and the mixed 't Hooft anomaly with the baryonic symmetry. For a choice of boundary conditions, the R-symmetry becomes non-invertible and the worldvolume action for the non-BPS Kaluza-Klein monopole precisely accounts for this.

Keywords

Cite

@article{arxiv.2506.13859,
  title  = {R-symmetries, anomalies and non-invertible defects from non-BPS branes},
  author = {Hugo Calvo and Francesco Mignosa and Diego Rodriguez-Gomez},
  journal= {arXiv preprint arXiv:2506.13859},
  year   = {2025}
}

Comments

28 pages, 2 figures; v2: references added. Version to appear on JHEP