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) | ||||||
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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. | ||||||

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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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