具有手性约束的WZNW模型的哈密顿约简

Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-09-20 DOI:10.1360/YA1993-36-9-1095

H. Bo-yu, Zhao Liu

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摘要

将WZNW模型常规哈密顿约简中的常数约束推广到任意手性约束的情况。结果表明，简化后的模型在经典水平和量子水平上都等价于共形可积系统。还发现手性约束的使用相当于WZNW模型和自由场的积相空间的Hamihonian约简。

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Hamiltonian Reduction of WZNW Model Associated With Chiral Constraints

The constant constraints in the conventional Hamiltonian reductions of WZNW model are generalized to the case of arbitrary chiral constraints.It is shown that the reduced model is equivalent to a conformal integrable system at both classical and quantum levels.It is also found that the use of chiral constraints is equivalent to the Hamihonian reduction of the product phase space of WZNW model and free fields.

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Science in China Series A-Mathematics, Physics, Astronomy & Technological Science

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