Abstract
Using a form factor approach, we define and compute the character of the fusion product of rectangular representations of . This character decomposes into a sum of characters of irreducible representations, but with q-dependent coefficients. We identify these coefficients as (generalized) Kostka polynomials. Using this result, we obtain a formula for the characters of arbitrary integrable highest weight representations of in terms of the fermionic characters of the rectangular highest weight representations.
Original language | English (US) |
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Pages (from-to) | 9183-9205 |
Number of pages | 23 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 38 |
Issue number | 42 |
DOIs | |
State | Published - Oct 21 2005 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy