%0 Journal Article %1 heluani_supersymmetry_2008 %A Heluani, Reimundo %D 2008 %J 0806.1021 %K Physics {Chiral,Mathematical} %T Supersymmetry of the chiral de Rham complex II: Commuting Sectors %U http://arxiv.org/abs/0806.1021 %X 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.

@article{heluani_supersymmetry_2008, 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.}, added-at = {2009-05-11T21:36:02.000+0200}, author = {Heluani, Reimundo}, biburl = {https://www.bibsonomy.org/bibtex/20724098c519c91a55b09db89204b6a5a/tbraden}, interhash = {06b6c90dbf66b33a4bdbc487dfb51203}, intrahash = {0724098c519c91a55b09db89204b6a5a}, journal = {0806.1021}, keywords = {Physics {Chiral,Mathematical}}, month = {June}, timestamp = {2009-05-11T21:36:02.000+0200}, title = {Supersymmetry of the chiral de Rham complex {II:} Commuting Sectors}, url = {http://arxiv.org/abs/0806.1021}, year = 2008 }