We describe a very general class of non-linear σ-models whose fields take values in a symmetric space, emphasizing the case when this is a Grassmann manifold. Putting these fields in a curved space, we are able to find solutions of the coupled Einstein-matter equations. These solutions fit very well to Kaluza-Klein-type theories, where they can be used to compactify the extra dimensions. We also discuss in some detail the problem of small fluctuations around the classical solution.
Generalized non-linear σ-models in curved space and spontaneous compactification / Omero, C; Percacci, Roberto. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 165:2(1980), pp. 351-364. [10.1016/0550-3213(80)90091-7]
Generalized non-linear σ-models in curved space and spontaneous compactification
Percacci, Roberto
1980-01-01
Abstract
We describe a very general class of non-linear σ-models whose fields take values in a symmetric space, emphasizing the case when this is a Grassmann manifold. Putting these fields in a curved space, we are able to find solutions of the coupled Einstein-matter equations. These solutions fit very well to Kaluza-Klein-type theories, where they can be used to compactify the extra dimensions. We also discuss in some detail the problem of small fluctuations around the classical solution.| File | Dimensione | Formato | |
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