English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

From Baxter Q-Operators to Local Charges

MPS-Authors
/persons/resource/persons2679

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

Locator
There are no locators available
Fulltext (public)

1207.4513
(Preprint), 317KB

JSM_2013_02_P02019.pdf
(Any fulltext), 710KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-D255-C
Abstract
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.