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Non-perturbative vacua in heterotic M-theory

Ron Donagi-+, Burt A Ovrut++, Tony Pantev-+ and Daniel Waldram§

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We present a class of N = 1 supersymmetric `standard' models of particle physics, derived directly from heterotic M-theory, that contain three families of chiral quarks and leptons coupled to the gauge group SU (3)C × SU (2)L × U (1)Y . These models are a fundamental form of `brane world' theories, with an observable and hidden sector each confined, after compactification on a Calabi-Yau 3-fold, to a BPS 3-brane separated by a higher-dimensional bulk space with size of the order of the intermediate scale. The requirement of three families, coupled to the fundamental conditions of anomaly freedom and supersymmetry, constrains these models to contain additional 5-branes located in the bulk space and wrapped around holomorphic curves in the Calabi-Yau 3-fold.


PACS

11.25.Sq Nonperturbative techniques; string field theory

02.40.-k Geometry, differential geometry, and topology

12.60.Jv Supersymmetric models

11.25.Wx String and brane phenomenology

11.25.Mj Compactification and four-dimensional models

11.25.Yb M theory

MSC

14J32 Calabi-Yau manifolds, mirror symmetry

15A24 Matrix equations and identities

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

81T60 Supersymmetric field theories

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

81T16 Nonperturbative methods of renormalization

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 5 (7 March 2000)

Received 9 November 1999



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