nLab
chiral differential operator

Idea

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Related concepts

• chiral de Rham complex, vertex operator algebra, chiral algebra

• 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

• Andrew R. Linshaw, Introduction to invariant chiral differential operators, in: Vertex operator algebras and related areas, 157–168, Contemp. Math. 497, Amer. Math. Soc. 2009; Invariant chiral differential operators and the $W_3$ algebra, J. Pure Appl. Algebra 213 (2009), 632-648, arxiv/0710.0194, MR2010b:17035, doi

• Pokman Cheung, Chiral differential operators and topology, arxiv/1009.5479