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Chiral de Rham Complex

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Abstract:

We define natural sheaves of vertex algebras over smooth manifolds which may be regarded as semi-infinite de Rham complexes of certain D-modules over the loop spaces. For Calabi–Yau manifolds they admit N=2 supersymmetry. Connection with Wakimoto modules is discussed.

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Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, Gottfried-Claren-Straße 26, 53225 Bonn, Germany.¶E-mail: malikov@mpim-bonn.mpg.de, , , , , , DE

    Fyodor Malikov

  2. Department of Mathematics, University of Glasgow, 15 University Gardens, Glasgow G12 8QW, UK.¶E-mail: vs@maths.gla.ac.uk, , , , , , UK

    Vadim Schechtman

  3. Department of Mathematics, New Mexico State University, Las Cruces, NM 88003-8001, USA.¶E-mail: vaintrob@nmsu.edu, , , , , , US

    Arkady Vaintrob

Authors
  1. Fyodor Malikov
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  2. Vadim Schechtman
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  3. Arkady Vaintrob
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Received: 29 April 1998 / Accepted: 7 February 1999

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Malikov, F., Schechtman, V. & Vaintrob, A. Chiral de Rham Complex. Comm Math Phys 204, 439–473 (1999). https://doi.org/10.1007/s002200050653

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  • DOI: https://doi.org/10.1007/s002200050653

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