Vector bundles of conformal blocks are vector bundles on the moduli stack of Deligne-Mumford stable n-pointed genus g curves $\bar{M}_{g,n}$ that arise in conformal field theory. Each triple $(\mathbf{g},l,(\lambda_1,...,\lambda_n))$ with $\mathbf{g}$ a simple Lie algebra, $l$ a nonnegative integer called the level, and $(\lambda_1,...,\lambda_n)$ an n-tuple of dominant integral weights of $\mathbf{g}$ specifies a conformal block bundle $V=V(\mathbf{g},l,(\lambda_1,...,\lambda_n))$. This package computes ranks and first Chern classes of conformal block bundles on $\bar{M}_{0,n}$ using formulas from Fakhruddin's paper [Fakh].
Most of the functions are in this package are for $S_n$ symmetric divisors and/or symmetrizations of divisors, but a few functions are included for non-symmetric divisors as well.
Some of the documentation nodes refer to books, papers, and preprints. Here is a link to the Bibliography.
Between versions 1.x and 2.0, the package was rewritten in a more object-oriented way, and the basic Lie algebra functions were moved into a separate package called LieTypes.
Version 0.5 of this package was accepted for publication in volume 8 of The Journal of Software for Algebra and Geometry on 2 August 2018, in the article Software for computing conformal block divisors on bar M_0,n. That version can be obtained from the journal or from the Macaulay2 source code repository.
This documentation describes version 2.4 of ConformalBlocks.
The source code from which this documentation is derived is in the file ConformalBlocks.m2.
The object ConformalBlocks is a package.