Fock space dualities
Nuclear Theory
2023-01-23 v2
Abstract
Several cases of Fock space duality occurring in the theory of many-body systems in general and nuclei in particular are discussed. All of them are special cases of a general duality theorem proved in mathematics by Howe in the 1970s. Dualities on a fermion Fock space between orthogonal Lie algebras and related groups, including an o-Pin duality recently discovered by the author, present a nice, symmetric pattern.
Keywords
Cite
@article{arxiv.2109.05335,
title = {Fock space dualities},
author = {K. Neergård},
journal= {arXiv preprint arXiv:2109.05335},
year = {2023}
}
Comments
Presented at The International Workshop "Shapes and Dynamics of Atomic Nuclei: Contemporary Aspects" (SDANCA-21), 16-18 September 2021, Sofia, Bulgaria