English

Conformal Covariance Subalgebras

High Energy Physics - Theory 2009-11-10 v2

Abstract

We give a direct Lie algebraic characterisation of conformal inclusions of chiral current algebras associated with compact, reductive Lie algebras. We use straightforward quantum field theoretic arguments and prove a long standing conjecture of Schellekens and Warner on grounds of unitarity and positivity of energy. We explore the structures found to characterise ``conformal covariance subalgebras'' and ``coset current algebras''.

Keywords

Cite

@article{arxiv.hep-th/0303201,
  title  = {Conformal Covariance Subalgebras},
  author = {Soeren Koester},
  journal= {arXiv preprint arXiv:hep-th/0303201},
  year   = {2009}
}

Comments

9 pages, no figures; typos and minor improvements

R2 v1 2026-07-22T15:16:18.437Z