Gerbes of chiral differential operators

Fyodor Malikov; Vadim Schechtman; Vassily Gorbounov

Gerbes of chiral differential operators

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arxiv math/9906117 v9 pith:ALTXXT2C submitted 1999-06-17 math.AG

Vassily Gorbounov , Fyodor Malikov , Vadim Schechtman This is my paper

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In this note we compute the cohomological obstruction to the existence of certain sheaves of vertex algebras on smooth varieties. These sheaves have been introduced and studied in the previous work by A.Vaintrob and two of the authors. Hopefully our result clarifies to some extent the constructions of the above work.

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Remarks on Associated Varieties and Minimal Tension Holography
hep-th 2025-07 conditional novelty 5.0 of 10

The associated variety of the psl(2|2) vertex algebra is identified with the cotangent bundle of the twistor space of the AdS3 boundary, and a new quotient-free free field realization of V1(psl(4|4)) is written down.

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