Fermionic Quasi-Particle Representations for Characters of ${(G^{(1)})_1 \times (G^{(1)})_1 ø(G^{(1)})_2}$

Details Fermionic Quasi-Particle Representations for Characters of ${(G^{(1)})_1 \times (G^{(1)})_1 ø(G^{(1)})_2}$ Fermionic Quasi-Particle Representations for Characters of ${(G^{(1)})_1 \times (G^{(1)})_1 ø(G^{(1)})_2}$

1992-11-24

arxiv.org/abs/hep-th/9211102v2

Phys.Lett. B304 (1993) 263-270

Physics

High Energy Physics

High Energy Physics - Theory

14/9 pages in harvmac, ITP-SB-92-64/RU-92-51. References added

Scientific paper

10.1016/0370-2693(93)90292-P

We present fermionic quasi-particle sum representations for some of the characters (or branching functions) of ~${(G^{(1)})_1 \times (G^{(1)})_1 \o (G^{(1)})_2}$ ~for all simply-laced Lie algebras $G$. For given $G$ the characters are written as the partition function of a set of rank~$G$ types of massless quasi-particles in certain charge sectors, with nontrivial lower bounds on the one-particle momenta. We discuss the non-uniqueness of the representations for the identity character of the critical Ising model, which arises in both the $A_1$ and $E_8$ cases.

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