Acharya, Bobby S. and Gukov, Sergei (2004) M theory and singularities of exceptional holonomy manifolds. Physics Reports, 392 (3). pp. 121-189. ISSN 0370-1573. doi:10.1016/j.physrep.2003.10.017. https://resolver.caltech.edu/CaltechAUTHORS:20160511-110724676
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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.
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| 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. | ||||||||||||
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| Issue or Number: | 3 | ||||||||||||
| Classification Code: | PACS:11.25.Yb | ||||||||||||
| DOI: | 10.1016/j.physrep.2003.10.017 | ||||||||||||
| Record Number: | CaltechAUTHORS:20160511-110724676 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160511-110724676 | ||||||||||||
| Official Citation: | Bobby S. Acharya, Sergei Gukov, M theory and singularities of exceptional holonomy manifolds, Physics Reports, Volume 392, Issue 3, March 2004, Pages 121-189, ISSN 0370-1573, http://dx.doi.org/10.1016/j.physrep.2003.10.017. (http://www.sciencedirect.com/science/article/pii/S0370157303004253) | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 66990 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||
| Deposited On: | 11 May 2016 18:18 | ||||||||||||
| Last Modified: | 11 Nov 2021 00:25 |
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