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

Frassek, R., Lukowski, T., Meneghelli, C., & Staudacher, M. (2013). Baxter Operators and Hamiltonians for "nearly all" Integrable Closed gl(n) Spin Chains. Nuclear Physics B, 874(2), 620-646. doi:10.1016/j.nuclphysb.2013.06.006.

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Frassek, Rouven, Author
Lukowski, Tomasz, Author
Meneghelli, Carlo1, Author              
Staudacher, Matthias2, Author              
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: Mathematical Physics, math-ph,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP
 Abstract: 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.

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 Dates: 2011-12-152013
 Publication Status: Published in print
 Pages: 26 pages, 1 figure
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1112.3600
DOI: 10.1016/j.nuclphysb.2013.06.006
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Title: Nuclear Physics B
Source Genre: Journal
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Publ. Info: Amsterdam : North-Holland
Pages: - Volume / Issue: 874 (2) Sequence Number: - Start / End Page: 620 - 646 Identifier: ISSN: 0550-3213
CoNE: https://pure.mpg.de/cone/journals/resource/954925564667