Quantization of the space of conformal blocks

Details Quantization of the space of conformal blocks Quantization of the space of conformal blocks

1997-10-31

arxiv.org/abs/q-alg/9710039v1

Lett.Math.Phys. 44 (1998) 157-167

Mathematics

Quantum Algebra

Latex, 9 pages

Scientific paper

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 $xy=yx+yy$.

Affiliated with

Also associated with

No associations

Rating

Quantization of the space of conformal blocks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantization of the space of conformal blocks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantization of the space of conformal blocks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-165157