Abstract
We discuss a new class of toroidal boundary conditions for one-dimensional quantum Hamiltonian with S{sub n} symmetry which are related to two-dimensional n-state Potts models in the extreme anisotropic Hamiltonian limit. At their self-dual point (a point were a second-order phase transition occurs for n=2,3,4) the duality transformation is shown to be an additional symmetry giving rise to a new class of `duality twisted` toroidal boundary conditions. This corresponding Hamiltonians are given in terms of generators of the periodic Temprely-Lieb algebra with an odd number of generators. We discuss as an example the critical Ising model. Here the complete spectrum for the new boundary conditions can be obtained from a projection mechanism in the spin-1/2 XXZ Heisenberg chain. (author).
Schuetz, G
[1]
- Weizmann Inst. of Science, Rehovoth (Israel). Dept. of Nuclear Physics
Citation Formats
Schuetz, G.
`Duality twisted`boundary conditions in n-state Potts Models.
Israel: N. p.,
1992.
Web.
Schuetz, G.
`Duality twisted`boundary conditions in n-state Potts Models.
Israel.
Schuetz, G.
1992.
"`Duality twisted`boundary conditions in n-state Potts Models."
Israel.
@misc{etde_10134779,
title = {`Duality twisted`boundary conditions in n-state Potts Models}
author = {Schuetz, G}
abstractNote = {We discuss a new class of toroidal boundary conditions for one-dimensional quantum Hamiltonian with S{sub n} symmetry which are related to two-dimensional n-state Potts models in the extreme anisotropic Hamiltonian limit. At their self-dual point (a point were a second-order phase transition occurs for n=2,3,4) the duality transformation is shown to be an additional symmetry giving rise to a new class of `duality twisted` toroidal boundary conditions. This corresponding Hamiltonians are given in terms of generators of the periodic Temprely-Lieb algebra with an odd number of generators. We discuss as an example the critical Ising model. Here the complete spectrum for the new boundary conditions can be obtained from a projection mechanism in the spin-1/2 XXZ Heisenberg chain. (author).}
place = {Israel}
year = {1992}
month = {Nov}
}
title = {`Duality twisted`boundary conditions in n-state Potts Models}
author = {Schuetz, G}
abstractNote = {We discuss a new class of toroidal boundary conditions for one-dimensional quantum Hamiltonian with S{sub n} symmetry which are related to two-dimensional n-state Potts models in the extreme anisotropic Hamiltonian limit. At their self-dual point (a point were a second-order phase transition occurs for n=2,3,4) the duality transformation is shown to be an additional symmetry giving rise to a new class of `duality twisted` toroidal boundary conditions. This corresponding Hamiltonians are given in terms of generators of the periodic Temprely-Lieb algebra with an odd number of generators. We discuss as an example the critical Ising model. Here the complete spectrum for the new boundary conditions can be obtained from a projection mechanism in the spin-1/2 XXZ Heisenberg chain. (author).}
place = {Israel}
year = {1992}
month = {Nov}
}