Topological strings on noncommutative manifolds
- Creators
- Kapustin, Anton
Abstract
We identify a deformation of the N=2 supersymmetric sigma model on a Calabi–Yau manifold X which has the same effect on B-branes as a noncommutative deformation of X. We show that for hyperkähler X such deformations allow one to interpolate continuously between the A-model and the B-model. For generic values of the noncommutativity and the B-field, properties of the topologically twisted sigma-models can be described in terms of generalized complex structures introduced by N. Hitchin. For example, we show that the path integral for the deformed sigma-model is localized on generalized holomorphic maps, whereas for the A-model and the B-model it is localized on holomorphic and constant maps, respectively. The geometry of topological D-branes is also best described using generalized complex structures. We also derive a constraint on the Chern character of topological D-branes, which includes A-branes and B-branes as special cases.
Additional Information
© 2004 World Scientific Publishing. Received: 29 October 2003; Revised: 24 November 2003. I would like to thank Marco Gualtieri, Nigel Hitchin, and Dmitri Orlov for discussions. I also would like to thank the organizers of the workshop "Geometry and Topology of Strings" at KITP, UC Santa Barbara, July-August 2004, for a very stimulating meeting. This research was supported in part by the DOE grant DE-FG03-92-ER40701.Attached Files
Submitted - 0310057.pdf
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Additional details
- Eprint ID
- 66684
- Resolver ID
- CaltechAUTHORS:20160505-104335472
- DE-FG03-92-ER40701
- Department of Energy (DOE)
- Created
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2016-05-05Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field