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Torsion and supersymmetry breaking

Albion Lawrence1, Tobias Sander1, Michael B. Schulz2,3 and Brian Wecht4,5

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We identify the auxiliary fields in the hypermultiplets of type IIB string theory compactified on a Calabi-Yau manifold, using a combination of worldsheet and supergravity techniques. The SUSY-breaking squark and gaugino masses in type IIB models depend on these auxiliary fields, which parametrize deformations away from a pure Calabi-Yau compactification to one with NS-NS 3-form flux and SU(3) × SU(3) structure. Worldsheet arguments show that such compactifications are generically globally nongeometric. Our results, combined with earlier results for type IIA compactifications, imply that these deformations are the mirrors of NS-NS 3-form flux, in accord with work from the supergravity point of view. Using the worldsheet current algebra, we explain why mirror symmetry may continue to hold in the presence of fluxes breaking the symmetries (e.g., (2,2) SUSY) on which mirror symmetry is typically taken to depend. Finally, we give evidence that nonperturbative worldsheet effects (such as worldsheet instantons) provide important corrections to the supergravity picture in the presence of auxiliary fields for Kähler moduli.

Keywords

Superstring Vacua

Flux compactifications

 

E-print Number: 0711.4787

Cited: by |

Refers: to

PACS

11.30.Pb Supersymmetry

02.40.-k Geometry, differential geometry, and topology

04.65.+e Supergravity

11.30.Qc Spontaneous and radiative symmetry breaking

11.25.Mj Compactification and four-dimensional models

14.80.Ly Supersymmetric partners of known particles

Subjects

Mathematical physics

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 07 (July 2008)

Received 2 June 2008, accepted for publication 25 June 2008

Published 8 July 2008



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