English

Bosons Live in Symplectic Coset Spaces

General Physics 2009-04-27 v1 Mathematical Physics math.MP

Abstract

A theory for the transitive action of a group on the configuration space of a system of fermions is shown to lead to the conclusion that bosons can be represented by the action of cosets of the group. By application of the principle to fundamental, indivisible fermions, the symplectic group Sp(n)Sp(n) is shown to be the largest group of isometries of the space. Interactions between particles are represented by the coset space Sp(n)/1nSp(1)Sp(n)/ \bigotimes_1^n Sp(1).

Keywords

Cite

@article{arxiv.0904.3868,
  title  = {Bosons Live in Symplectic Coset Spaces},
  author = {B. E. Eichinger},
  journal= {arXiv preprint arXiv:0904.3868},
  year   = {2009}
}