A Causal Algebra for Liouville Exponentials

Abstract

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.

10 pages

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Cited by in corpus (3)

• Boundary Liouville Theory: Hamiltonian Description and Quantization
• Singular Liouville fields and spiky strings in $\rr^{1,2}$ and $SL(2,\rr)$
• Causal Poisson bracket via deformation quantization