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arXiv · 2504.17508

Free field realization of the Ding-Iohara algebra at general levels

Zitao Chen·Xiang-Mao Ding
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Abstract

We present a unified free field realization of the Ding-Iohara algebra at arbitrary levels, which satisfies a generalized form of the Serre relations. This realization, constructed using six free boson fields, arises from a specialized factorization of the structure function in the defining relations of the algebra. Based on this construction, we then develop intertwining operators for the Ding-Iohara algebra.

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Zitao Chen, Xiang-Mao Ding. 2025-04-24. Free field realization of the Ding-Iohara algebra at general levels. https://doi.org/10.1007/jhep03(2026)132

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