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Another Free Boson Representation of Yangian DoubleDYħ(slN) with Arbitrary Level |
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| Authors: | HOU Bo-Yu ZHAO Liu DING Xiang-Mao |
| Affiliation: | 1. Institute of Modern Physics, Northwest University, Xi'an710069, China;2. Institute of Applied Mathematics, Academy of Mathematics and System Science, The Chinese Academy of Sciences, Beijing 100080, China;3. Institute of Theoretical Physics, The Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | We derive a free boson representation of the Yangian doubleDYħ(slN) with arbitrary level k by the observation that there is a correspondence between the q-affine algebra and Yangian double associated with the same Cartan matrix. Vertex operator and screening currents cannot be obtained in the same way. From this point of view, the Yangian double withcentre cannot be regarded as the degenerated case of thequantum affine algebra. |
| Keywords: | free field realization Yangian double |
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