Conformal Yano-Killing tensors for space-times with cosmological constant
Pawe{\l} Czajka, Jacek Jezierski
TL;DR
This paper introduces a novel method for constructing conformal Yano-Killing tensors in five-dimensional Anti-de Sitter space-time, with implications for defining global charges in asymptotically AdS spaces.
Contribution
It presents a new approach to construct CYK tensors in 5D AdS space and explores their role in defining global charges, including derivations in 4D AdS.
Findings
Constructed CYK tensors in two coordinate systems
Discussed global charges in asymptotically AdS space
Derived conformal Killing forms in 4D AdS
Abstract
We present a new method for constructing conformal Yano-Killing tensors in five-di\-men\-sio\-nal Anti-de Sitter space-time. The found tensors are represented in two different coordinate systems. We also discuss, in terms of CYK tensors, global charges which are well defined for asymptotically (five-dimensional) Anti-de Sitter space-time. Additionally in Appendix we present our own derivation of conformal Killing one-forms in four-dimensional Anti-de Sitter space-time as an application of the Theorem presented in the paper.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.