Calabi-Yau duals of torus orientifolds
- Creators
- Schultz, Michael B.
Abstract
We study a duality that relates the T^6/Bbb Z_2 orientifold with N = 2 flux to standard fluxless Calabi-Yau compactifications of type IIA string theory. Using the duality map, we show that the Calabi-Yau manifolds that arise are abelian surface (T^4) fibrations over Bbb P^1. We compute a variety of properties of these threefolds, including Hodge numbers, intersection numbers, discrete isometries, and H_1(X,Bbb Z). In addition, we show that S-duality in the orientifold description becomes T-duality of the abelian surface fibers in the dual Calabi-Yau description. The analysis is facilitated by the existence of an explicit Calabi-Yau metric on an open subset of the geometry that becomes an arbitrarily good approximation to the actual metric (at most points) in the limit that the fiber is much smaller than the base.
Additional Information
© 2006 SISSA. Received 22 February 2006, accepted for publication 18 April 2006. Published 8 May 2006. It is a pleasure to thank Bobby Acharya, Paul Aspinwall, Volker Braun, Atish Dabholkar, Ron Donagi, Bogdan Florea, Andrew Frey, Antonella Grassi, Shamit Kachru, and Martin Roček for helpful discussions and useful references, as well as Per Berglund for correspondence during early stages of the project. In addition, I thank S. Kachru, P. Tripathy, and S. Trivedi for the enjoyable collaboration from which this investigation was a continous outgrowth. Finally, I am grateful to the organizers of the Simons Workshop at SUNY Stony Brook and to Stanford University for hospitality during the course of this work. This work was supported in part by the DOE under contract DE-FG03-92-ER40701.Additional details
- Eprint ID
- 15943
- DOI
- 10.1088/1126-6708/2006/05/023
- Resolver ID
- CaltechAUTHORS:20090918-081731581
- DE-FG03-92-ER40701
- Department of Energy
- Created
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2009-10-05Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field