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 (DOI: 10.2140/jsag.2018.8.81). That version can be obtained from the journal.
This documentation describes version 2.4 of ConformalBlocks.
If you have used this package in your research, please cite it as follows:
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The object ConformalBlocks is a package, defined in ConformalBlocks.m2.
The source of this document is in ConformalBlocks.m2:815:0.