Recent advances and open questions on the susy structure of the chiral de Rham Complex
Quantum Algebra
2019-06-14 v1
Abstract
We review different constructions of the supersymmetry subalgebras of the chiral de Rham complex on special holonomy manifolds. We describe the difference between the holomorphic-anti-holomorphic sectors based on a local free ghost system vs the decomposition in left-right sectors from a local Boson-Fermion system. We describe the topological twist in the case of and manifolds. We describe the construction of these algebras as quantum Hamiltonian reduction of Lie superalgebras at the minimal or superprincipal nilpotent.
Keywords
Cite
@article{arxiv.1702.02205,
title = {Recent advances and open questions on the susy structure of the chiral de Rham Complex},
author = {Reimundo Heluani},
journal= {arXiv preprint arXiv:1702.02205},
year = {2019}
}