nLab
chiral de Rham complex

Related concepts

• chiral differential operator, vertex operator algebra, chiral algebra

• Berkovits superstring

• formal loop space

References

• Vassily Gorbounov, Fyodor Malikov, Vadim Schechtman?, Gerbes of chiral differential operators Math. Res. Lett. 7 (2000), no. 1, 55–66, MR2002c:17040, math.AG/9906117; Gerbes of chiral differential operators. II. Vertex algebroids, Invent. Math. 155 (2004), no. 3, 605–680, MR2005e:17047, math.AG/0003170, doi; Gerbes of chiral differential operators. III, in: The orbit method in geometry and physics (Marseille, 2000), 73–100, Progr. Math. 213, Birkhäuser 2003, MR2005a:17028, math.AG/0005201, On chiral differential operators over homogeneous spaces, Int. J. Math. Math. Sci. 26 (2001), no. 2, 83–106, MR2002g:14020, math.AG/0008154, doi

• Urs Schreiber at string cafe:

  • Nekrasov on pure spinor superstring

  • Sheaves of CDOs

• Yuly Billig, Vyacheslav Futorny, Representations of Lie algebra of vector fields on a torus and chiral de Rham complex, arxiv/1108.6092