Abstract
By means of imposing some conformally broken constraints on the phase space of the conformal WZNW model based on the simple Lie group SL(2, R) , we find out an off-conformal system which may be regarded as a conformally broken extension of the sinh-Gordon model. It is shown that such a conformally broken system continues to preserve its integrability at both classical and quantum levels. The classical r( λ/ μ) matrix and the quantum R( λ/ μ) matrix are also obtained.
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