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- W2120429054 abstract "Abstract We present a superfield formulation of the chiral de Rham complex (CDR), as introduced by Malikov, Schechtman and Vaintrob in 1999, in the setting of a general smooth manifold, and use it to endow CDR with superconformal structures of geometric origin. Given a Riemannian metric, we construct an N =1 structure on CDR (action of the N =1 super-Virasoro, or Neveu–Schwarz, algebra). If the metric is Kähler, and the manifold Ricci-flat, this is augmented to an N =2 structure. Finally, if the manifold is hyperkähler, we obtain an N =4 structure. The superconformal structures are constructed directly from the Levi-Civita connection. These structures provide an analog for CDR of the extended supersymmetries of nonlinear σ -models." @default.
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- W2120429054 date "2008-03-01" @default.
- W2120429054 modified "2023-10-16" @default.
- W2120429054 title "Supersymmetry of the chiral de Rham complex" @default.
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- W2120429054 doi "https://doi.org/10.1112/s0010437x07003223" @default.
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