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From Baxter Q-Operators to Local Charges

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons2679

Meneghelli,  Carlo
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

Externe Ressourcen
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Volltexte (frei zugänglich)

1207.4513
(Preprint), 317KB

JSM_2013_02_P02019.pdf
(beliebiger Volltext), 710KB

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Zitation

Frassek, R., & Meneghelli, C. (2013). From Baxter Q-Operators to Local Charges. Journal of Statistical Mechanics: Theory and Experiment, 2013(2): P02019. doi:10.1088/1742-5468/2013/02/P02019.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-D255-C
Zusammenfassung
We discuss how the shift operator and the Hamiltonian enter the hierarchy of Baxter Q-operators in the example of gl(n) homogeneous spin-chains. Building on the construction that was recently carried out by the authors and their collaborators, we find that a reduced set of Q-operators can be used to obtain local charges. The mechanism relies on projection properties of the corresponding R-operators on a highest/lowest weight state of the quantum space. It is intimately related to the ordering of the oscillators in the auxiliary space. Furthermore, we introduce a diagrammatic language that makes these properties manifest and the results transparent. Our approach circumvents the paradigm of constructing the transfer matrix with equal representations in quantum and auxiliary space and underlines the strength of the Q-operator construction.