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arxiv: hep-th/0512018 · v1 · submitted 2005-12-01 · ✦ hep-th

A Causal Algebra for Liouville Exponentials

classification ✦ hep-th
keywords algebracausalexponentialsliouvilleasymptoticsbracketbracketscausality
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A causal Poisson bracket algebra for Liouville exponentials on a cylinder is derived using an exchange algebra for free fields describing the in and out asymptotics. The causal algebra involves an even number of space-time points with a minimum of four. A quantum realisation of the algebra is obtained which preserves causality and the local form of non-equal time brackets.

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