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Calabi-Yau duals of torus orientifolds

Michael B. Schulz1

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We study a duality that relates the T6/Bbb Z2 orientifold with Script 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 (T4) fibrations over Bbb P1. We compute a variety of properties of these threefolds, including Hodge numbers, intersection numbers, discrete isometries, and H1(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.

Keywords

Superstring Vacua

String Duality

Flux compactifications

 

E-print Number: hep-th/0412270

Cited: by |

Refers: to

PACS

11.25.Mj Compactification and four-dimensional models

02.40.-k Geometry, differential geometry, and topology

11.25.Yb M theory

11.25.Tq Gauge/string duality

MSC

14J32 Calabi-Yau manifolds, mirror symmetry

81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)

81T70 Quantization in field theory; cohomological methods (See also 58D29)

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 05 (May 2006)

Received 22 February 2006, accepted for publication 18 April 2006

Published 8 May 2006



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