Geometric sigma-models
Abstract
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.
Source:
Classical and Quantum Gravity, 1998, 15, 1, 29-42Funding / projects:
- Serbian Research Foundation, Yugoslavia
DOI: 10.1088/0264-9381/15/1/004
ISSN: 0264-9381; 1361-6382
WoS: 000071886000004
Scopus: 2-s2.0-0040579152
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Institution/Community
VinčaTY - JOUR AU - Vasilić, Milovan PY - 1998 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2110 AB - 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. T2 - Classical and Quantum Gravity T1 - Geometric sigma-models VL - 15 IS - 1 SP - 29 EP - 42 DO - 10.1088/0264-9381/15/1/004 ER -
@article{ author = "Vasilić, Milovan", year = "1998", abstract = "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.", journal = "Classical and Quantum Gravity", title = "Geometric sigma-models", volume = "15", number = "1", pages = "29-42", doi = "10.1088/0264-9381/15/1/004" }
Vasilić, M.. (1998). Geometric sigma-models. in Classical and Quantum Gravity, 15(1), 29-42. https://doi.org/10.1088/0264-9381/15/1/004
Vasilić M. Geometric sigma-models. in Classical and Quantum Gravity. 1998;15(1):29-42. doi:10.1088/0264-9381/15/1/004 .
Vasilić, Milovan, "Geometric sigma-models" in Classical and Quantum Gravity, 15, no. 1 (1998):29-42, https://doi.org/10.1088/0264-9381/15/1/004 . .