Higher charges in dynamical spin chains for SYM theory
Journal article, 2005

We construct, to the first two non-trivial orders, the next conserved charge in the su(2|3) sector of N=4 Super Yang-Mills theory. This represents a test of integrability in a sector where the interactions change the number of sites of the chain. The expression for the charge is completely determined by the algebra and can be written in a diagrammatic form in terms of the interactions already present in the Hamiltonian. It appears likely that this diagrammatic expression remains valid in the full theory and can be generalized to higher loops and higher charges thus helping in establishing complete integrability for these dynamical chains.

Supersymmetry

Anomalous Dimensions

Spin Chains

Author

Abhishek Agarwal

University of Rochester

Gabriele Ferretti

Chalmers, Applied Physics, Mathematical Physics

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

10 1291-1302

Subject Categories

Physical Sciences

DOI

10.1088/1126-6708/2005/10/051

More information

Created

10/7/2017