Supersymmetry of the chiral de Rham complex II: Commuting Sectors
Quantum Algebra
2008-06-06 v2 Mathematical Physics
math.MP
Abstract
We construct two commuting N=2 structures on the space of sections of the chiral de Rham complex (CDR) of a Calabi-Yau manifold. We use this extra supersymmetry to construct a non-linear automorphism of CDR preserving these N=2 structures. Finally, we show how to extend these results to construct a commuting pair of N=4 super-vertex algebras in the Hyper-Kahler case.
Keywords
Cite
@article{arxiv.0806.1021,
title = {Supersymmetry of the chiral de Rham complex II: Commuting Sectors},
author = {Reimundo Heluani},
journal= {arXiv preprint arXiv:0806.1021},
year = {2008}
}
Comments
25 pages