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M theory and Singularities of Exceptional Holonomy Manifolds

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arxiv hep-th/0409191 v2 pith:6SYFMWXF submitted 2004-09-17 hep-th

Bobby S. Acharya , Sergei Gukov This is my paper · ORCID
classification hep-th
keywords singularitiestheoryholonomymanifoldsphysicsdescribegaugeproperties
verification ladder T0 review T1 audit T2 compute T3 formal
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M theory compactifications on G_2 holonomy manifolds, whilst supersymmetric, require singularities in order to obtain non-Abelian gauge groups, chiral fermions and other properties necessary for a realistic model of particle physics. We review recent progress in understanding the physics of such singularities. Our main aim is to describe the techniques which have been used to develop our understanding of M theory physics near these singularities. In parallel, we also describe similar sorts of singularities in Spin(7) holonomy manifolds which correspond to the properties of three dimensional field theories. As an application, we review how various aspects of strongly coupled gauge theories, such as confinement, mass gap and non-perturbative phase transitions may be given a simple explanation in M theory.

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Cited by 4 Pith papers

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  3. How to Falsify String Theory at a Collider

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  4. Morse-Bott inequalities, Topology Change and Cobordisms to Nothing

    hep-th 2024-10 unverdicted novelty 6.0 of 10

    Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.

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