A trial to find an elliptic quantum algebra for \(\text{sl}_2\) using the Heisenberg and Clifford algebra

DOI10.1142/S0217732394002161zbMATH Open1020.17511arXivhep-th/9404122MaRDI QIDQ2727984

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Publication date: 31 July 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

Abstract: A Heisenberg-Clifford realization of a deformed $U(s{l}_2)$ by two parameters $p$ and $q$ is discussed. The commutation relations for this deformed algebra have interesting connection with the theta functions.

Full work available at URL: https://arxiv.org/abs/hep-th/9404122

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

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