Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-05-20
J. Phys. A 31 (1998) 6887-6896
Physics
Condensed Matter
Statistical Mechanics
13 pages, Latex 2e
Scientific paper
10.1088/0305-4470/31/32/012
Motivated by the recent development on the exact thermodynamics of 1D quantum systems, we propose quasi-particle like formulas for $\hat{\mathfrak{sl}(n)}_{k=1}$ characters. The $\hat{\mathfrak{sl}(2)}_{k=1}$ case is re-examined first. The novel formulation yields a direct connection to the fractional statistics in the short range interacting model, and provides a clear description of the spinon character formula. Generalizing the observation, we find formulas for $\hat{\mathfrak{sl}(n)}_{k=1}$, which can be proved by the Durfee rectangle formula.
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