Quantization of the space of conformal blocks

被引:2
|
作者
Mukhin, E [1 ]
Varchenko, A [1 ]
机构
[1] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA
关键词
quantized Knizhnik-Zamolodchikov equation; conformal blocks; Yangian;
D O I
10.1023/A:1007465401183
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
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页码:157 / 167
页数:11
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