TL;DR
This paper proves that free vertex operators in conformal field theory cannot be closed, impacting the understanding of their role in the BRST construction of primary fields across various models.
Contribution
It establishes the uncloseability of free vertex operators in conformal field theory, including minimal models and WZNW models, providing a fundamental limitation in their mathematical structure.
Findings
Free vertex operators are not closeable in conformal field theory.
The proof applies to minimal models and WZNW models.
Implications for the BRST construction of primary fields.
Abstract
We prove the uncloseability of the free vertex operators used in conformal field theory for the BRST--construction of primary fields. Our proof includes minimal models as well as WZNW--models.
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