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Fixing all moduli for M-theory on K3 × K3

Paul S. Aspinwall1,2,3 and Renata Kallosh1

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We analyze M-theory compactified on K3 × K3 with fluxes preserving half the supersymmetry and its F-theory limit, which is dual to an orientifold of the type IIB string on K3 × (T2/Bbb Z2). The geometry of attractive K3 surfaces plays a significant role in the analysis. We prove that the number of choices for the K3 surfaces is finite and we show how they can be completely classified. We list the possibilities in one case. We then study the instanton effects and see that they will generically fix all of the moduli. We also discuss situations where the instanton effects might not fix all the moduli.

Keywords

M-Theory

Superstring Vacua

F-Theory

 

E-print Number: hep-th/0506014

Cited: by |

Refers: to

PACS

11.25.Yb M theory

11.25.Mj Compactification and four-dimensional models

02.40.-k Geometry, differential geometry, and topology

11.30.Pb Supersymmetry

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 10 (October 2005)

Received 9 June 2005, accepted for publication 12 September 2005

Published 3 October 2005



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