. . . "15"^^ . "Classification of conformally flat spaces;solutions of KdV type equations; Wave equations for higher spin particle with interactions;Connes renorma- lization theory;solutions of N=3 super Y-M equations;para, super and discrete symmetries."@en . "0"^^ . . "The use of symmetry and supersymmetries for solving contemporary problems in particle physics and astrophysics"@en . "\u0158e\u0161en\u00ED aktu\u00E1ln\u00EDch probl\u00E9m\u016F fyziky \u010D\u00E1stic a astrofyziky pomoc\u00ED symetri\u00ED a supersymetri\u00ED"@cs . "15"^^ . . . . . "0"^^ . "1572"^^ . . . "7320"^^ . "1"^^ . "Projekt je v\u011Bnov\u00E1n symetri\u00EDm a supersymetri\u00EDm a jejich vyu\u017Eit\u00ED k \u0159e\u0161en\u00ED n\u00E1sleduj\u00EDc\u00EDch aktu\u00E1ln\u00EDch probl\u00E9m\u016F \u010D\u00E1sticov\u00E9 a matematick\u00E9 anal\u00FDzy:1. Ke konstrukci teorie pole a kosmologick\u00FDch model\u016F (v\u010Detn\u011B interpretace experiment\u00E1ln\u00EDch dat) na konform\u011B ploch\u00FDch prostoro\u010Dasech. 2. Ke studiu dualit v poln\u00EDch a strunov\u00FDch teori\u00EDch. Ke studiu r\u016Fzn\u00FDch mechanism\u016F naru\u0161en\u00ED symetrie a supersymetrie (p\u0159\u00EDmo na \u00FArovni strunov\u00E9 teorie, pomoc\u00ED neporuchov\u00FDch jev\u016F na \u00FArovni n\u00EDzkoenergetick\u00E9 efektivn\u00ED teorie pole, pomoc\u00ED inverzn\u00EDho Higgsova jevu atd.). 3. K redukci, nalezen\u00ED spekter a exaktn\u00ED \u0159e\u0161itelnosti rovnic matematick\u00E9 fyziky (nap\u0159. Diracova typu)."@cs . "The project is devoted to symmetries and supersymmetries and their use for solving the following contemporary problems in particle and mathematical physics: 1. Construction of field theories and cosmological models (including interpretation of astrophysical data) on conformal space-times. 2. Consequences of dualities in field and string theories, symmetry and supersymmetry breaking mechanisms in particle physics (directly at the string theory level or via non-perturbative effects at the low energy effective field theory level, via inverse Higgs effect etc.). 3. Reduction, spectra and integrability of various field equations (e.g. of Diractype) via their discrete symmetry and supersymmetry."@en . .