ConformalBlocks

Macaulay2 package ConformalBlocks - for vector bundles of conformal blocks on the moduli space of curves. Vector bundles of conformal blocks are vector bundles on the moduli stack of Deligne-Mumford stable n-pointed genus g curves Mg,n that arise in conformal field theory. Each triple (g,l,(λ1,...,λn)) with g a simple Lie algebra, l a nonnegative integer called the level, and (λ1,...,λn) an n-tuple of dominant integral weights of g specifies a conformal block bundle V=V(g,l,(λ1,...,λn)). This package computes ranks and first Chern classes of conformal block bundles on M0,n using formulas from Fakhruddin’s paper [Fakh]. Most of the functions are in this package are for Sn symmetric divisors and/or symmetrizations of divisors, but a few functions are included for non-symmetric divisors as well.