Conformal Covariance Subalgebras

Details Conformal Covariance Subalgebras Conformal Covariance Subalgebras

2003-03-24

arxiv.org/abs/hep-th/0303201v2

Lett.Math.Phys. 67 (2004) 25-32

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures; typos and minor improvements

Scientific paper

10.1023/B:MATH.0000027688.52662.

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''.

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