Supersymmetry of the chiral de Rham complex II: Commuting Sectors

Mathematics – Quantum Algebra

Scientific paper

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25 pages

Scientific paper

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.

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