Integral and Theta Formulae for Solutions of Sl_N Knizhnik-Zamolodchikov Equations at Level Zero
| dc.creator | Nakayashiki, Atsushi | |
| dc.date | 1998-03-19 | |
| dc.date.accessioned | 2026-07-07T05:24:08Z | |
| dc.date.available | 2026-07-07T05:24:08Z | |
| dc.description | The solutions of the sl_N Knizhnik-Zamolodchikov(KZ) equations at level 0 are studied. We present the integral formula which is obtained as a quasi-classical limit of the integral formula for form factors of the SU(N) invariant Thirring model due to F. Smirnov. A proof is given that those integrals satisfy sl_N KZ equation of level 0. The relation of the integral formulae with the chiral Szego kernel is clarified. As a consequence the integral formula with the special choice of cycles is rewritten in terms of the Riemann theta functions associated with the Z_N curve. This formula gives a generalization of Smirnov's formula for sl_2. | |
| dc.description | 38 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/9803086 | |
| dc.identifier | http://arxiv.org/abs/math/9803086 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76718 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Integral and Theta Formulae for Solutions of Sl_N Knizhnik-Zamolodchikov Equations at Level Zero | |
| dc.type | text |