University of Hertfordshire

From the same journal

By the same authors

Baxter Operators and Hamiltonians for "nearly all" Integrable Closed gl(n) Spin Chains

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  • 1112.3600v1

    Accepted author manuscript, 401 KB, PDF document

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Original languageEnglish
Publication statusPublished - 15 Dec 2011


We continue our systematic construction of Baxter Q-operators for spin chains, which is based on certain degenerate solutions of the Yang-Baxter equation. Here we generalize our approach from the fundamental representation of gl(n) to generic finite-dimensional representations in quantum space. The results equally apply to non-compact representations of highest or lowest weight type. We furthermore fill an apparent gap in the literature, and provide the nearest-neighbor Hamiltonians of the spin chains in question for all cases where the gl(n) representations are described by rectangular Young diagrams, as well as for their infinite-dimensional generalizations. They take the form of digamma functions depending on operator-valued shifted weights.


26 pages, 1 figure

ID: 15512213