Fermionic Character Sums and the Corner Transfer Matrix
| dc.creator | Melzer, Ezer | |
| dc.date | 1993-05-23 | |
| dc.date.accessioned | 2026-07-07T10:35:16Z | |
| dc.date.available | 2026-07-07T10:35:16Z | |
| dc.description | We present a ``natural finitization'' of the fermionic q-series (certain generalizations of the Rogers-Ramanujan sums) which were recently conjectured to be equal to Virasoro characters of the unitary minimal conformal field theory (CFT) M(p,p+1). Within the quasi-particle interpretation of the fermionic q-series this finitization amounts to introducing an ultraviolet cutoff, which -- contrary to a lattice spacing -- does not modify the linear dispersion relation. The resulting polynomials are conjectured (proven, for p=3,4) to be equal to corner transfer matrix (CTM) sums which arise in the computation of order parameters in regime III of the r=p+1 RSOS model of Andrews, Baxter, and Forrester. Following Schur's proof of the Rogers-Ramanujan identities, these authors have shown that the infinite-lattice limit of the CTM sums gives what later became known as the Rocha-Caridi formula for the Virasoro characters. Thus we provide a proof of the fermionic q-series representation for the Virasoro characters for p=4 (the case p=3 is ``trivial''), in addition to extending the remarkable connection between CFT and off-critical RSOS models. We also discuss finitizations of the CFT modular-invariant partition functions. | |
| dc.description | 24/15 pages in harvmac, Stony Brook preprint ITP-SB-93-29 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9305114 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9305114 | |
| dc.identifier | Int.J.Mod.Phys.A9:1115-1136,1994 | |
| dc.identifier | doi:10.1142/S0217751X94000510 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179701 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Fermionic Character Sums and the Corner Transfer Matrix | |
| dc.type | text |