Differential Operator Realization of the Exceptional Superalgebra D(2,1;α) and Its Application |
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| Authors: | CHEN Xi DING Xiang-Mao WANG Xiao-Hui YANG Wen-Li |
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| Affiliation: | 1. Institute of Modern Physics, Northwest University, Xi'an 710069, China;2. Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, P.O. Box 2734, Beijing 100080, China;3. Department of Physics, Northwest University, Xi'an 710069, China |
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| Abstract: | ![]()
In this paper, we give the explicit expressions of the differential operator representations of the exceptional Lie superalgebra D(2,1;α). Based on these expressions, we construct free field realizations of the currents associated with D(2,1;α) at an arbitrary level k. |
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| Keywords: | WZNW model current algebra differential operator realization free field realization |
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