The open XXZ and associated models at q root of unity

Details The open XXZ and associated models at q root of unity The open XXZ and associated models at q root of unity

2006-03-14

arxiv.org/abs/hep-th/0603112v3

J.Stat.Mech.0605:P05010,2006

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, LATEX, minor typos corrected

Scientific paper

10.1088/1742-5468/2006/05/P05010

The generalized open XXZ model at $q$ root of unity is considered. We review how associated models, such as the $q$ harmonic oscillator, and the lattice sine-Gordon and Liouville models are obtained. Explicit expressions of the local Hamiltonian of the spin ${1 \over 2}$ XXZ spin chain coupled to dynamical degrees of freedom at the one end of the chain are provided. Furthermore, the boundary non-local charges are given for the lattice sine Gordon model and the $q$ harmonic oscillator with open boundaries. We then identify the spectrum and the corresponding Bethe states, of the XXZ and the q harmonic oscillator in the cyclic representation with special non diagonal boundary conditions. Moreover, the spectrum and Bethe states of the lattice versions of the sine-Gordon and Liouville models with open diagonal boundaries is examined. The role of the conserved quantities (boundary non-local charges) in the derivation of the spectrum is also discussed.

Affiliated with

Also associated with

No associations

Rating

The open XXZ and associated models at q root of unity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The open XXZ and associated models at q root of unity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The open XXZ and associated models at q root of unity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-704746