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SUMMARY:Higher chiral differential operators
DTSTART;VALUE=DATE-TIME:20170315T133000Z
DTEND;VALUE=DATE-TIME:20170315T150000Z
DTSTAMP;VALUE=DATE-TIME:20190724T043058Z
UID:indico-event-2249@indico.math.cnrs.fr
DESCRIPTION:The sheaf of chiral differential operators is a sheaf of verte
x algebras defined by Gorbounov\, Malikov\, and Schechtman in the early ni
neties that exists on any manifold with vanishing second component of its
Chern character. Later on it was proposed by Witten to be related to the c
hiral operators of the (0\,2)-supersymmetric sigma-model. Recently\, we ha
ve proved this using an approach to QFT developed by Costello: the BV-quan
tization of the holomorphic twist of the (0\,2) theory is isomorphic to th
e sheaf of chiral differential operators. Along with Gorbounov and Gwillia
m\, we prove this using the language of holomorphic factorization algebras
in one complex dimension. In this talk I will sketch the proof of this re
sult while also motivating a family of BV theories that produce sheaves of
higher dimensional holomorphic factorization algebras that deserve to be
called “higher” CDOs. We discuss the meaning of the OPE for these theo
ries as encoded by the higher dimensional factorization structure.\n\nhttp
s://indico.math.cnrs.fr/event/2249/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/2249/
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