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arXiv · 1008.2653

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

Britta Aufgebauer·Michael Brockmann·Win Nuding·Andreas Klümper·Ara Sedrakyan
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Abstract

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 $Δ$ and twisted boundary conditions. Special emphasis is placed on the study of logarithmic corrections appearing in the case of $Δ=1/2$ 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 $Δ=1/2$ we give the complete set of scaling dimensions which show huge degeneracies.

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Britta Aufgebauer, Michael Brockmann, Win Nuding, Andreas Klümper, Ara Sedrakyan. 2010-08-16. The complete conformal spectrum of a $sl(2|1)$ invariant network model and logarithmic corrections. https://doi.org/10.1088/1742-5468%2F2010%2F12%2Fp12010

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