Diagrammatic evaluation of conformal weights in the Uq[SU(2)] symmetric Heisenberg chain
نویسنده
چکیده
We consider the Uq[SU(2)] symmetric Heisenberg chain when q = e iπ/(m+1) and m is integer. We consider the cases m = 3 and m = 5 which correspond to the Ising and 3-state Potts models. We study the finite size scaling (FSS) of the ground states in different quantum spin sectors and restricting to highest weights of type-II representations. We compute the levels by a diagrammatic technique which needs only the commutation relations of the underlying Temperley-Lieb algebra. The results match the FSS predictions which hold for the Bethe levels. PACS number(s): 75.10.Jm, 05.50.+q, 64.60.Cn Typeset using REVTEX 1
منابع مشابه
The modified XXZ Heisenberg chain: conformal invariance, of a duality-twisted Ising quantum chain 7 surface exponents of c < 1 systems, and hidden symmetries of finite chains Int
The modified XXZ Heisenberg chain, conformal invariance, surface exponents of c < 1 systems, and hidden symmetries of the finite chains * Abstract: The spin-1/2 XXZ Heisenberg chain with two types of boundary terms is considered. For the first type, the Hamiltonian is hermitian but not for the second type which includes the U q [SU (2)] symmetric case. It is shown that for a certain " tuning " ...
متن کاملOn Uq[SU(2)]-symmetric Driven Diffusion
We study analytically a model where particles with a hard-core repulsion diffuse on a finite one-dimensional lattice with space-dependent, asymmetric hopping rates. The system dynamics are given by the U q [SU(2)]-symmetric Hamiltonian of a generalized anisotropic Heisenberg antiferromagnet. Exploiting this symmetry we derive exact expressions for various correlation functions. We discuss the d...
متن کاملIMPROVING THE SELECTION SYMMETRIC WEIGHTS AS A SECONDARY GOAL IN DEA CROSS-EFFICIENCY EVALUATION
Recently, some authors proposed the use of symmetric weightsfor computing the elements of cross-efficiency matrix. In spite ofthe fact that the proposed method decreases the number of zeroweights, a large number of zero weights may still exist among inputand output symmetric weights. To decrease the number of input andoutput symmetric weights, this paper improves the proposed secondarygoal mode...
متن کاملHeisenberg realization for U q ( sl n ) on the flag manifold
We give the Heisenberg realization for the quantum algebra Uq(sln), which is written by the q-difference operator on the flag manifold. We construct it from the action of Uq(sln) on the q-symmetric algebra Aq(Matn) by the Borel-Weil like approach. Our realization is applicable to the construction of the free field realization for the Uq(ŝln) [AOS].
متن کاملCritical Behaviour of Mixed Heisenberg Chains
The critical behaviour of anisotropic Heisenberg models with two kinds of antiferromagnetically exchange-coupled centers are studied numerically by using finite-size calculations and conformal invariance. These models exhibit the interesting property of ferrimagnetism instead of antiferromagnetism. Most of our results are centered in the mixed Heisenberg chain where we have at even (odd) sites ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1995