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M theory, G2-manifolds and four-dimensional physics

B S Acharya

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M theory on a manifold of G2-holonomy is a natural framework for obtaining vacua with four large spacetime dimensions and Script N = 1 supersymmetry. In order to obtain, within this framework, the standard features of particle physics, namely non-Abelian gauge groups and chiral fermions, we consider G2-manifolds with certain kinds of singularities at which these features reside. The aim of this paper is to describe in detail how the above picture emerges. Along the way we will see how interesting aspects of strongly coupled gauge theories, such as confinement, receive relatively simple explanations within the context of M theory. We conclude with a brief discussion of the particle physics features of these vacua of M theory.


PACS

11.25.Yb M theory

02.40.Sf Manifolds and cell complexes

11.15.Me Strong-coupling expansions

11.10.Cd Axiomatic approach

11.30.Pb Supersymmetry

04.65.+e Supergravity

MSC

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

83E50 Supergravity

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

Subjects

Mathematical physics

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 22 (21 November 2002)

Received 23 September 2002

Published 6 November 2002



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