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Cascading to the MSSM

Jonathan J. Heckman1, Cumrun Vafa1, Herman L. Verlinde2 and Martijn Wijnholt3

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The MSSM can arise as an orientifold of a pyramid-like quiver in the context of intersecting D-branes. Here we consider quiver realizations of the MSSM which can emerge at the bottom of a duality cascade. We classify all possible minimal ways this can be done by allowing only one extra node. It turns out that this requires extending the geometry of the pyramid to an octahedron. The MSSM at the bottom of the cascade arises in one of two possible ways, with the extra node disappearing either via Higgsing or confinement. Remarkably, the quiver of the Higgsing scenario turns out to be nothing but the quiver version of the left-right symmetric extension of the MSSM. In the minimal confining scenario the duality cascade can proceed if and only if there is exactly one up/down Higgs pair. Moreover, the symmetries of the octahedron naturally admit an automorphism of the quiver which solves a version of the μ problem precisely when there are an odd number of generations.

Keywords

Superstring Vacua

Intersecting branes models

Supersymmetry and Duality

Gauge-gravity correspondence

 

E-print Number: 0711.0387

Cited: by |

Refers: to

PACS

12.60.Jv Supersymmetric models

11.30.Qc Spontaneous and radiative symmetry breaking

11.30.Pb Supersymmetry

11.25.Uv D branes

Subjects

Particle physics and field theory

Dates

Issue 06 (June 2008)

Received 30 March 2008, accepted for publication 19 May 2008

Published 4 June 2008



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