Deformation of a Virasoro algebra and the integrals of motion of the quantum sine-Gordon equation
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A special deformation of a Virasoro algebra such that the screening operator is not deformed (the space where it operates is deformed) is studied. This deformation leads to a 3-index algebra. The residue of the generating function of the generators of this algebra is a generating function of the integrals of motion for the quantum sine-Gordon model. The algebra of generating functions is calculated. Explicit formulas are presented for the first few integrals of motion.
KeywordsSpectroscopy State Physics Generate Function Elementary Particle Explicit Formula
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