M theory and singularities of exceptional holonomy manifolds
- Creators
- Acharya, Bobby S.
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Gukov, Sergei
Abstract
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.
Additional Information
© 2003 Elsevier B.V. Accepted 28 October 2003. editor: A. Schwimmer. Various topics covered in this review are based on the work done together with A. Brandhuber, J. Gomis, S. Gubser, X. de la Ossa, D. Tong, J. Sparks, C. Vafa, E. Witten, S.-T. Yau, and E. Zaslow, whom we wish to thank for many useful discussions and collaboration. This work was conducted during the period S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. The work of S.G. is also supported in part by RFBR grant 01-01-00549 and RFBR grant for Young Scientists 02-01-06322.Attached Files
Submitted - 0409191.pdf
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Additional details
- Eprint ID
- 66990
- Resolver ID
- CaltechAUTHORS:20160511-110724676
- Clay Mathematics Institute
- 01-01-00549
- Russian Foundation for Basic Research
- 02-01-06322
- Russian Foundation for Basic Research
- Created
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2016-05-11Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field