Ben-Zvi, David; Heluani, Reimundo; Szczesny, Matthew Supersymmetry of the chiral de Rham complex. (English) Zbl 1205.17028 Compos. Math. 144, No. 2, 503-521 (2008). In the paper under review, the authors give a formulation of the chiral de Rham complex, introduced in [F. Malikov, V. Schechtman and A. Vaintrob, Commun. Math. Phys. 204, No. 2, 439–473 (1999; Zbl 0952.14013)], in terms of supersymmetric vertex algebras from [R. Heluani and V. G. Kac, Commun. Math. Phys. 271, No. 1, 103–178 (2007; Zbl 1205.17029)]. This formalism yields certain simplifications in the description of the chiral de Rham complex. Using that superfield formulation, the authors construct \(N=1,2,4\) superconformal structures on the chiral de Rham complex. Reviewer: Ozren Perse (Zagreb) Cited in 2 ReviewsCited in 21 Documents MSC: 17B69 Vertex operators; vertex operator algebras and related structures 14F40 de Rham cohomology and algebraic geometry 81T60 Supersymmetric field theories in quantum mechanics 53C26 Hyper-Kähler and quaternionic Kähler geometry, “special” geometry Keywords:chiral de Rham; hyper-Kaehler Citations:Zbl 0952.14013; Zbl 1205.17029 PDFBibTeX XMLCite \textit{D. Ben-Zvi} et al., Compos. Math. 144, No. 2, 503--521 (2008; Zbl 1205.17028) Full Text: DOI arXiv