BRST cohomology ring in 2D gravity coupled to minimal models

H. Kanno; M. H. Sarmadi

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arXiv · hep-th/9207078

BRST cohomology ring in 2D gravity coupled to minimal models

H. Kanno·M. H. Sarmadi

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Abstract

The ring structure of Lian-Zuckerman states for $(q,p)$ minimal models coupled to gravity is shown to be ${\cal R}={\cal R}_0\otimes {\bf C} [w,w^{-1}]$ where ${\cal R}_0$ is the ring of ghost number zero operators generated by two elements and $w$ is an operator of ghost number $-1$. Some examples are discussed in detail. For these models the currents are also discussed and their algebra is shown to contain the Virasoro algebra.

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H. Kanno, M. H. Sarmadi. 1992-07-23. BRST cohomology ring in 2D gravity coupled to minimal models. https://arxiv.org/abs/hep-th/9207078

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