Representations of Super $W(2,2)$ algebra $\mathfrak{L}$

Hao Wang; Huanxia Fa; Junbo Li

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arXiv · 1705.09452

Representations of Super $W(2,2)$ algebra $\mathfrak{L}$

Hao Wang·Huanxia Fa·Junbo Li

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Abstract

In paper, we study the representation theory of super $W(2,2)$ algebra ${\mathfrak{L}}$. We prove that ${\mathfrak{L}}$ has no mixed irreducible modules and give the classification of irreducible modules of intermediate series. We determinate the conjugate-linear anti-involution of ${\mathfrak{L}}$ and give the unitary modules of intermediate series.

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BibTeX RIS

Hao Wang, Huanxia Fa, Junbo Li. 2017-05-26. Representations of Super $W(2,2)$ algebra $\mathfrak{L}$. https://arxiv.org/abs/1705.09452

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