M theory and singularities of exceptional holonomy manifolds |
| |
| Institution: | 1. New High Energy Theory Center, Department of Physics, Rutgers University, Piscataway, NJ 08854, USA;2. Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, USA;1. Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento – C.P.193, I-73100 Lecce, Italy;2. Instituto Universitario de Matemática Pura y Aplicada IUMPA, Universitat Politècnica de València, E-46071 Valencia, Spain;3. Math.-Geogr. Fakultät, Katholische Universität Eichstätt-Ingolstadt, D-85072 Eichstätt, Germany |
| |
| Abstract: | M theory compactifications on G2 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. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
