2021/10/31 by Ulf Lindström, Özgür Sarıoğlu
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Conformal map #Cosmology and Gravitation Theories #Current (fluid) #Engineering #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Multiplet #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Section (typography) #Supergravity #Superspace #Supersymmetry #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1007/jhep03(2022)029
published as JHEP 03 (2022) 029 · 20 pages; ver. 2: to appear in JHEP
arxiv created 2022/02/28 · openalex publication_date 2022/03/01 · arxiv updated 2022/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss conserved currents constructed from the Cotton tensor and (conformal) Killing-Yano tensors (KYTs). We consider the corresponding charges generally and then exemplify with the four-dimensional Plebański-Demiański metric where they are proportional to the sum of the squares of the electric and the magnetic charges. As part of the derivation, we also find the two conformal Killing-Yano tensors of the Plebański-Demiański metric in the recently introduced coordinates of Podolsky and Vratny. The construction of asymptotic charges for the Cotton current is elucidated and compared to the three-dimensional construction in Topologically Massive Gravity. For the three-dimensional case, we also give a conformal superspace multiplet that contains the Cotton current in the bosonic sector. In a mathematical section, we derive potentials for the currents, find identities for conformal KYTs and for KYTs in torsionful backgrounds.