Note on a numerical equality regarding the eta invariant on Berger spheres

Autor:	Dowker, J. S.
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	The Dirac APS eta invariant on a Berger sphere of dimension $2n-1$ is discovered, numerically, to coincide, up to spin factors, with the Dirac conformal anomaly on a round sphere of even dimension, $n$. The analytical expression, given in terms of a generalised Bernoulli polynomial, is shown to equal a known conjecture for the eta invariant. Weingart's generating function is also obtained with no extra work. Comment: 6 pages. Equivalence to Weingart's generating function now derived. Text tidied. Comments and two references added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.03100 Zobrazit plný text záznamu View this record from Arxiv