The complete conformal spectrum of a $sl(2|1)$ invariant network model and logarithmic corrections

Details The complete conformal spectrum of a $sl(2|1)$ invariant network model and logarithmic corrections The complete conformal spectrum of a $sl(2|1)$ invariant network model and logarithmic corrections

2010-08-16

arxiv.org/abs/1008.2653v1

Physics

Condensed Matter

Statistical Mechanics

18 pages, 5 figures

Scientific paper

We investigate the low temperature asymptotics and the finite size spectrum of a class of Temperley-Lieb models. As reference system we use the spin-1/2 Heisenberg chain with anisotropy parameter $\Delta$ and twisted boundary conditions. Special emphasis is placed on the study of logarithmic corrections appearing in the case of $\Delta=1/2$ in the bulk susceptibility data and in the low-energy spectrum yielding the conformal dimensions. For the $sl(2|1)$ invariant 3-state representation of the Temperley-Lieb algebra with $\Delta=1/2$ we give the complete set of scaling dimensions which show huge degeneracies.

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