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Higher charges in dynamical spin chains for SYM theory

Abhishek Agarwal ; Gabriele Ferretti (Institutionen för fundamental fysik, Matematisk fysik)
Journal of High Energy Physics (1029-8479). 10, (2005)
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Supersymmetry, Spin Chains, Anomalous Dimensions



Denna post skapades 2006-09-12. Senast ändrad 2013-07-04.
CPL Pubid: 8772

 

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Institutioner (Chalmers)

Institutionen för fundamental fysik, Matematisk fysik (2005-2013)

Ämnesområden

Fysik

Chalmers infrastruktur