Coherent States on Lie Algebras: A Constructive Approach
Abstract
We generalise the notion of coherent states to arbitrary Lie algebras by making an analogy with the GNS construction in $C^*$algebras. The method is illustrated with examples of semisimple and nonsemisimple finite dimensional Lie algebras as well as loop and KacMoody algebras. A deformed addition on the parameter space is also introduced simplifying some expressions and some applications to conformal field theory is pointed out, e.g. are differential operator and free field realisations found. PACS: 02.20.S, 03.65.F, 11.25.H Keywords: coherent states, Lie and KacMoody algebras, realisations.
 Publication:

arXiv eprints
 Pub Date:
 October 1997
 DOI:
 10.48550/arXiv.physics/9710032
 arXiv:
 arXiv:physics/9710032
 Bibcode:
 1997physics..10032A
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
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