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Fermionic Sum Representations for Conformal Field Theory Characters | | R. Kedem
; T.R. Klassen
; B.M. McCoy
; E. Melzer
; | | Date: |
13 Dec 1992 | | Journal: | Phys.Lett. B307 (1993) 68-76 | | Subject: | hep-th | | Abstract: | We present sum representations for all characters of the unitary Virasoro minimal models. They can be viewed as fermionic companions of the Rocha-Caridi sum representations, the latter related to the (bosonic) Feigin-Fuchs-Felder construction. We also give fermionic representations for certain characters of the general $(G^{(1)})_k imes (G^{(1)})_l over (G^{(1)})_{k+l}}$ coset conformal field theories, the non-unitary minimal models ${cal M}(p,p+2)$ and ${cal M}(p,kp+1)$, the $N$=2 superconformal series, and the $Z_N$-parafermion theories, and relate the $q o 1$ behaviour of all these fermionic sum representations to the thermodynamic Bethe Ansatz. | | Source: | arXiv, hep-th/9301046 | | Services: | Forum | Review | PDF | Favorites | |
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