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Distributions of nonsupersymmetric flux vacua

Frederik Denef1 and Michael R. Douglas1,2

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We continue the study of the distribution of nonsupersymmetric flux vacua in IIb string theory compactified on Calabi-Yau manifolds, as in hep-th/0404116.

We show that the basic structure of this problem is that of finding eigenvectors of the matrix of second derivatives of the superpotential, and that many features of the results are determined by features of the generic ensemble of such matrices, the CI ensemble of Altland and Zirnbauer originating in mesoscopic physics.

We study some simple examples in detail, exhibiting various factors which can favor low or high scale supersymmetry breaking.


Keywords

Supersymmetry Breaking

Statistical Methods

Superstring Vacua

 

E-print Number: hep-th/0411183

Cited: by |

Refers: to

PACS

11.25.-w Strings and branes

02.40.-k Geometry, differential geometry, and topology

11.30.Qc Spontaneous and radiative symmetry breaking

11.30.Pb Supersymmetry

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 03 (March 2005)

Received 23 December 2004, accepted for publication 22 March 2005

Published 18 April 2005



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