AdS$_3$/AdS$_2$ degression of Fronsdal fields
High Energy Physics - Theory
2022-10-19 v2
Abstract
We analyze the Kaluza-Klein type procedure in AdS space called the dimensional degression. The topological theory of the Fronsdal field in AdS is reformulated in terms of the fields propagating in AdS. We find that the Fronsdal field in AdS leads to finitely many Kaluza-Klein modes. Namely, the obtained spectrum is the massive Klein-Gordon and Proca fields in AdS. The result is derived by using the specific mode expansion, the gauge fixing, and 2-dimensional Schouten identities.
Cite
@article{arxiv.2205.05665,
title = {AdS$_3$/AdS$_2$ degression of Fronsdal fields},
author = {A. N. Yan},
journal= {arXiv preprint arXiv:2205.05665},
year = {2022}
}
Comments
v2: 24 pages, Appendix E added, typos fixed