dorsal/arxiv
View SchemaQuantization of the space of conformal blocks
| Authors | E. Mukhin, A. Varchenko |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9710039 |
| URL | https://arxiv.org/abs/q-alg/9710039 |
| Journal | Lett.Math.Phys. 44 (1998) 157-167 |
Abstract
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 $xy=yx+yy$.
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"abstract": "We consider the discrete Knizhnik-Zamolodchikov connection (qKZ) associated\nto $gl(N)$, defined in terms of rational R-matrices. We prove that under\ncertain resonance conditions, the qKZ connection has a non-trivial invariant\nsubbundle which we call the subbundle of quantized conformal blocks. The\nsubbundle is given explicitly by algebraic equations in terms of the Yangian\n$Y(gl(N))$ action. The subbundle is a deformation of the subbundle of conformal\nblocks in CFT. The proof is based on an identity in the algebra with two\ngenerators $x,y$ and defining relation $xy=yx+yy$.",
"arxiv_id": "q-alg/9710039",
"authors": [
"E. Mukhin",
"A. Varchenko"
],
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"q-alg",
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"journal_ref": "Lett.Math.Phys. 44 (1998) 157-167",
"title": "Quantization of the space of conformal blocks",
"url": "https://arxiv.org/abs/q-alg/9710039"
},
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