Abstract
We point out that the existence of global symmetries in a fleld theory is not an essential ingredient in its relation with an integrable model. We describe an obvious construction which, given an integrable spin chain, yields a fleld theory whose 1-loop scale transformations are generated by the spin chain hamiltonian. We also identify a necessary condition for a given fleld theory to be related to an integrable spin chain. As an example, we describe an anisotropic and parity-breaking generalization of the XXZ Heisenberg spin chain and its associated fleld theory. The system has no nonabelian global symmetries and generally does not admit a supersymmetric extension without the intro- duction of more propagating bosonic flelds. For the case of a 2-state chain we flnd the spectrum and the eigenstates. For certain values of its coupling constants the fleld theory associated to this general type of chain is the bosonic sector of the q-deformation ofN = 4 SYM theory.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
