A Selberg Integral Type Formula for an sl_2 One-Dimensional Space of Conformal Blocks

A. Varchenko

A Selberg Integral Type Formula for an sl_2 One-Dimensional Space of Conformal Blocks

Quantum Algebra 2009-05-25 v2 Algebraic Geometry

Authors: A. Varchenko

Abstract

For distinct complex numbers $z_1,...,z_{2N}$ , we give a polynomial $P(y_1,...,y_{2N})$ in the variables $y_1,...,y_{2N}$ , which is homogeneous of degree $N$ , linear with respect to each variable, $sl_2$ -invariant with respect to a natural $sl_2$ -action, and is of order $N-1$ at $(y_1,...,y_{2N})=(z_1,...,z_{2N})$ . We give also a Selberg integral type formula for the associated one-dimensional space of conformal blocks.

Keywords

selberg integral conformal blocks sl_2-invariant polynomial one-dimensional space homogeneous polynomial

Cite

@article{arxiv.0810.3355,
  title  = {A Selberg Integral Type Formula for an sl_2 One-Dimensional Space of Conformal Blocks},
  author = {A. Varchenko},
  journal= {arXiv preprint arXiv:0810.3355},
  year   = {2009}
}

Comments

LaTex, 7 pages proofs are extended, misprints are corrected

A Selberg Integral Type Formula for an sl_2 One-Dimensional Space of Conformal Blocks

Abstract

Keywords

Cite

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