q-deformation of corner vertex operator algebras by Miura transformation
q-deformation of corner vertex operator algebras by Miura transformation
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DOI：
10.1007/jhep04(2021)202
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发表时间：
2021-01
影响因子：
5.4
通讯作者：
K. Harada;Y. Matsuo;Go Noshita;Akimi Watanabe
中科院分区：
文献类型：
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作者：
K. Harada;Y. Matsuo;Go Noshita;Akimi Watanabe
最近，Gaiotto 和 Rapcak 通过考虑膜相交角处的对称性（角顶点算子代数）提出了 W N 代数的推广。该代数记为 Y L、M、N，其特征在于三个非负整数 L、M、N。它具有明显的三重自同构，可将 L、M、N 互换，并且可以作为平面划分表示中带有“坑”的 W 1+∞ 代数的约简来获得。后来，Prochazka 和 Rapcak 通过 Miura 变换的推广，使用分数幂微分算子提出了用 L+ M+ N 自由玻色子表示 Y L、M、N 的方法。
Recently, Gaiotto and Rapcak proposed a generalization of W N algebra by considering the symmetry at the corner of the brane intersection (corner vertex operator algebra). The algebra, denoted as Y L, M, N, is characterized by three non-negative integers L, M, N. It has a manifest triality automorphism which interchanges L, M, N, and can be obtained as a reduction of W 1+∞ algebra with a “pit” in the plane partition representation. Later, Prochazka and Rapcak proposed a representation of Y L, M, N in terms of L+ M+ N free bosons by a generalization of Miura transformation, where they use the fractional power differential operators.