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Chiral de Rham complex and the half-twisted sigma-model

Kapustin, Anton (2005) Chiral de Rham complex and the half-twisted sigma-model. , Pasadena, CA. (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160505-102220527

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Abstract

On any Calabi-Yau manifold X one can define a certain sheaf of chiral N=2 superconformal field theories, known as the chiral de Rham complex of X. It depends only on the complex structure of X, and its local structure is described by a simple free field theory. We show that the cohomology of this sheaf can be identified with the infinite-volume limit of the half-twisted sigma-model defined by E. Witten more than a decade ago. We also show that the correlators of the half-twisted model are independent of the Kahler moduli to all orders in worldsheet perturbation theory, and that the relation to the chiral de Rham complex can be violated only by worldsheet instantons.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/hep-th/0504074arXivDiscussion Paper
ORCID:
AuthorORCID
Kapustin, Anton0000-0003-3903-5158
Additional Information:A.K. would like to thank Fyodor Malikov and Vassily Gorbounov for discussions. This work was supported in part by the DOE grant DE-FG03-92-ER40701.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT68-2547
Record Number:CaltechAUTHORS:20160505-102220527
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160505-102220527
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66680
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 May 2016 22:34
Last Modified:27 Oct 2017 18:26

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