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arXiv 1408.0655hep-th
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Wolf空间中的高自旋流:II部分

Higher Spin Currents in Wolf Space: Part II

Changhyun Ahn

摘要:

在N=4的超共形Wolf空间陪集SU(5)/[SU(3)x SU(2)x U(1)]中,我们得到了自旋(1,3/2,3/2,2),(3/2,2,2,5/2),(3/2,2,2,5/2)和(2,5/2,5/2,3)的16个最低的高自旋流。通过计算N=4非线性超共形代数的扩张中的上述高阶自旋流之间的算子乘积展开(OPEs),得到了N=4非线性超共形代数的下16个高阶自旋流(2,5/2,5/2,3),(5/2,3,3,7/2),(5/2,3,3,7/2)和(3,7/2,7/2,4)从这些OPEs的右侧确定。此外,由N=4的大非线性超共形代数中的11个电流和上述16个最低的高自旋电流组成的复合场也出现在这些OPEs的右侧.后者出现二次(和线性)的融合规则与大的N=4的非线性超共形族的身份操作。

英文摘要:

The 16 lowest higher spin currents of spins (1, 3/2, 3/2, 2), (3/2, 2, 2, 5/2 ), (3/2, 2, 2, 5/2) and (2, 5/2, 5/2, 3) in terms of N=2 WZW affine currents were obtained in the N=4 superconformal Wolf space coset SU(5)/[SU(3) x SU(2) x U(1)] previously. By calculating the operator product expansions (OPEs) between the above higher spin currents which are contained in an extension of large N=4 nonlinear superconformal algebra, the next 16 higher spin currents of spins (2, 5/2, 5/2, 3), (5/2, 3, 3, 7/2 ), (5/2, 3, 3, 7/2) and (3, 7/2, 7/2, 4) are determined from the right hand sides of these OPEs. Moreover, the composite fields consisting of both the 11 currents in the large N=4 nonlinear superconformal algebra and the above 16 lowest higher spin currents also occur in the right hand sides of these OPEs. The latter appears quadratically (and linearly) in the fusion rules together with large N=4 nonlinear superconformal family of the identity operator.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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