Asymptotic representations of augmented q-Onsager algebra and boundary K-operators related to Baxter Q-operators release_vwgbiwpk6beqpaml66abs2zfoe

by Pascal Baseilhac, Zengo Tsuboi

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abstracts[] {'sha1': '0598603d0ddbcb1e80b5d37f9e4b9168b5775d0a', 'content': 'We consider intertwining relations of the augmented q-Onsager algebra\nintroduced by Ito and Terwilliger, and obtain generic (diagonal) boundary\nK-operators in terms of the Cartan element of U_q(sl_2). These\nK-operators solve reflection equations. Taking appropriate limits of these\nK-operators in Verma modules, we derive K-operators for Baxter Q-operators\nand corresponding reflection equations.', 'mimetype': 'text/plain', 'lang': 'en'}
{'sha1': '3bcf02b7c9fb76758ea7edec7afb54895b168768', 'content': 'We consider intertwining relations of the augmented $q$-Onsager algebra\nintroduced by Ito and Terwilliger, and obtain generic (diagonal) boundary\n$K$-operators in terms of the Cartan element of $U_{q}(sl_2)$. These\n$K$-operators solve reflection equations. Taking appropriate limits of these\n$K$-operators in Verma modules, we derive $K$-operators for Baxter Q-operators\nand corresponding reflection equations.', 'mimetype': 'application/x-latex', 'lang': 'en'}
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{'index': 1, 'creator_id': None, 'creator': None, 'raw_name': 'Zengo Tsuboi', 'given_name': None, 'surname': None, 'role': 'author', 'raw_affiliation': None, 'extra': None}
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language en
license_slug ARXIV-1.0
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release_date 2017-07-14
release_stage submitted
release_type article
release_year 2017
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title Asymptotic representations of augmented q-Onsager algebra and boundary K-operators related to Baxter Q-operators
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arxiv.base_id 1707.04574
arxiv.categories ['math-ph', 'hep-th', 'math.MP', 'math.QA']
arxiv.comments 45 pages, v2: universal T- and Q-operators added
arxiv.journal_ref Nuclear Physics B 929 (2018) 397-437
superceded True