Quantization of the space of conformal blocks
| dc.creator | Mukhin, E. | |
| dc.creator | Varchenko, A. | |
| dc.date | 1997-10-31 | |
| dc.date.accessioned | 2026-07-07T05:57:40Z | |
| dc.date.available | 2026-07-07T05:57:40Z | |
| dc.description | We consider the discrete Knizhnik-Zamolodchikov connection (qKZ) associated to $gl(N)$, defined in terms of rational R-matrices. We prove that under certain resonance conditions, the qKZ connection has a non-trivial invariant subbundle which we call the subbundle of quantized conformal blocks. The subbundle is given explicitly by algebraic equations in terms of the Yangian $Y(gl(N))$ action. The subbundle is a deformation of the subbundle of conformal blocks in CFT. The proof is based on an identity in the algebra with two generators $x,y$ and defining relation $xy=yx+yy$. | |
| dc.description | Latex, 9 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9710039 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9710039 | |
| dc.identifier | Lett.Math.Phys. 44 (1998) 157-167 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/88071 | |
| dc.subject | Quantum Algebra | |
| dc.title | Quantization of the space of conformal blocks | |
| dc.type | text |