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arXiv 1111.5049hep-thmath-phmath.MPmath.QA
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扩张仿射gl(1)的W-代数|第一章

W-Algebras Extending Affine gl(1|1)

Thomas Creutzig, David Ridout

摘要:

最近的研究表明,gl^(1| 1)容许单流扩张的无限族。在这里,这些研究结果进行审查和明确的自由场实现的扩展代数构造。然后计算对算子乘积代数的主要贡献。在这些扩张中,我们发现了四个无限族,它们似乎包含Feigin和Semikhatov的W^(2)_N代数在不同水平上的拷贝作为子代数,并且中心荷为+/-1。

英文摘要:

It was recently shown that gl^(1|1) admits an infinite family of simple current extensions. Here, these findings are reviewed and explicit free field realisations of the extended algebras are constructed. The leading contributions to the operator product algebra are then calculated. Among these extensions, one finds four infinite families that seem to contain, as subalgebras, copies of the W^(2)_N algebras of Feigin and Semikhatov at various levels and central charges +/- 1.

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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