In the framework of the method of phenomenological Lagrangians, we address the non-linear realizations of the Lie group G concerning the ’distortion’ of 12-dimensional space. Treating the ’distortion’ group G and its stationary subgroup H = SO(3), respectively, as the dynamical group and its algebraic subgroup, we identify the parameters of the quotient space G/H of adjacent classes by the subgroup H with the Goldstone fields of spontaneous breaking of ’distortion’ symmetry. We study the geometrical structure of the space of parameters in terms of Cartan forms introduced through the appropriate Maurer- Cartan’s structure equations. This allows us to infer the group invariants and calculate the conserved currents as its inevitable corollaries.
oai:arar.sci.am:439334
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան
Aug 27, 2026
Aug 27, 2026
28
https://arar.sci.am/publication/473859
| Edition name | Date |
|---|---|
| Ter-Kazarian, G., Non-Linear Realizations of ’Distortion’ Group | Aug 27, 2026 |
Ю. Л. Вартанян Գլխավոր խմբ․՝ Վ․ Հ․ Համբարձումյան (1965-1987) Լ․ Վ․ Միրզոյան (1988-1999) Դ․ Մ․ Սեդրակյան (2000-2017)
А. М. Соболев В. С. Стрельницкий Н. Н. Чугай Գլխավոր խմբ․՝ Վ․ Հ․ Համբարձումյան (1965-1987) Լ․ Վ․ Միրզոյան (1988-1999) Դ․ Մ․ Սեդրակյան (2000-2017)
Ter-Kazarian, G.
Ter-Kazarian, G.
Ter-Kazarian, G.
Ter-Kazarian, G.