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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)

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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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URLURL TypeDescription Paper
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.
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Department of Energy (DOE)DE-FG03-92-ER40701
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Record Number:CaltechAUTHORS:20160505-102220527
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66680
Deposited By: Tony Diaz
Deposited On:05 May 2016 22:34
Last Modified:03 Oct 2019 09:58

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