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  Oscillator Construction of su(n|m) Q-Operators

Frassek, R., Lukowski, T., Meneghelli, C., & Staudacher, M. (2011). Oscillator Construction of su(n|m) Q-Operators. Nuclear Physics B, 850(1), 175-198. doi:10.1016/j.nuclphysb.2011.04.008.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-0504-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-0505-D
Genre: Journal Article

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1012.6021 (Preprint), 381KB
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 Creators:
Frassek, Rouven, Author
Lukowski, Tomasz, Author
Meneghelli, Carlo1, Author              
Staudacher, Matthias, Author
Affiliations:
1Quantum Gravity and 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 generalize our recent explicit construction of the full hierarchy of Baxter Q-operators of compact spin chains with su(n) symmetry to the supersymmetric case su(n|m). The method is based on novel degenerate solutions of the graded Yang-Baxter equation, leading to an amalgam of bosonic and fermionic oscillator algebras. Our approach is fully algebraic, and leads to the exact solution of the associated compact spin chains while avoiding Bethe ansatz techniques. It furthermore elucidates the algebraic and combinatorial structures underlying the system of nested Bethe equations. Finally, our construction naturally reproduces the representation, due to Z. Tsuboi, of the hierarchy of Baxter Q-operators in terms of hypercubic Hasse diagrams.

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 Dates: 2010-12-292011-02-282011
 Publication Status: Published in print
 Pages: 24 pages, 4 figures; v2: references added
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1012.6021
DOI: 10.1016/j.nuclphysb.2011.04.008
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Title: Nuclear Physics B
Source Genre: Journal
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Publ. Info: Amsterdam : North-Holland
Pages: - Volume / Issue: 850 (1) Sequence Number: - Start / End Page: 175 - 198 Identifier: ISSN: 0550-3213
CoNE: /journals/resource/954925564667