logo
CanyamAI summaries for academic research
language
MobileMobile
  • Phone FeatureWeChat Mini Program
EnglishEnglish
noticeNotice
BlogBlog
delete
arrow
Return

Geometric σ-models

delete1999-01-01
delete9
PRE
AI
M
M. Vasilić
DOI：10.1088/0264-9381/15/1/004delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
A class of nonlinear sigma-models coupled to gravity is defined by identifying the coordinates of spacetime with the components of a set of scalar fields. The obtained theories have purely geometric character, and necessarily possess soliton solutions with topologically non-trivial scalar sectors. In some cases, the corresponding configuration spaces are shown to possess the necessary homotopy structure to admit fermions. The stability problem is considered only in the asymptotic region of the soliton solutions. It is shown how the asymptotic flatness of the soliton metric leads to the compactification of the sigma-model target space. As an illustration, the examples of a cosmic string solution and a monopole solution are considered.
Keywords:
GRAVITATIONAL-FIELD
QUANTUM-GRAVITY
SYMMETRY GROUPS
SPIN
COMPACTIFICATION
MONOPOLES
STRINGS

Journal

Classical and Quantum Gravity cover
Classical and Quantum Gravity
IF:
3.7
Papers:
1.3W
Citations:
3.0W

Organization

No organization information available