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Last update: T_UCJF (09.04.2013)
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Last update: doc. Mgr. Milan Krtička, Ph.D. (10.06.2019)
Složení ústní zkoušky. |
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Last update: T_UCJF (19.04.2013)
[1] R.Slansky, Phys.Repts. 79 (1981) [2] P.Langacker, Phys.Repts. 72 (1981) [3] H. Georgi, Lie algebras in particle physics ISBN 0738202339 [4] S.Weinberg, Introduction to Quantum field theory ISBN 0521550025 [5] S. Coleman, Aspects of symmetry ISBN 0521267064 [6] R. Bertlmann, Anomalies in quantum field theory ISBN 0198520476 [7] M. Peskin, D. Schroeder, Introduction to Quantum field theory ISBN 0201503972 [8] G.G.Ross, Grand Unified Theories, 1984, ISBN 0805-369678 [9] R.N.Mohapatra, Unification & Supersymmetry, 1986/92, ISBN 0378-955348 [10] D.Bailin, A.Love, SUSY gauge field theories and string theory, ISBN 0750-302674 [11] R.N.Mohapatra, P.B.Pal, Massive neutrinos in Physics and Astrophysics, ISBN 9812380701 [12] S. Martin, Supersymmetry primer, hep-ph/9709356 |
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Last update: doc. Mgr. Milan Krtička, Ph.D. (10.06.2019)
Požadavky ke zkoušce odpovídají sylabu předmětu v rozsahu prezentovaném na přednášce. |
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Last update: T_UCJF (19.04.2013)
⁃ the historical SUSY motivation ⁃ two-component spinors ⁃ dotted and undotted indices ⁃ SUSY transformations ⁃ the minimal Wess-Zumino model ⁃ the minimal SUSY algebra and its representations ⁃ the superfields and their components II. Supersymmetry - basic model building [10,12] ⁃ The SUSY lagrangians ⁃ The F- and D-term contributions to the scalar potential ⁃ SUSY gauge interactions III. Minimal supersymmetric standard model [10,12] ⁃ MSSM definition in the current basis ⁃ Basic MSSM degrees of freedom, the need for two doublets ⁃ Soft SUSY-breaking terms ⁃ Flavour structure of the MSSM IV. The basic MSSM phenomenology [10,12] ⁃ R-parity conservation/violation ⁃ Anomalous magnetic moments and electric dipole moments in the MSSM ⁃ the flavour and CP issues in the MSSM, lepton flavour violation ⁃ basic MSSM collider phenomenology ⁃ dark matter in the MSSM V. Running couplings in SUSY [4,7] ⁃ SUSY gauge running ⁃ Weak mixing angle in the SUSY GUTs ⁃ Radiative symmetry breaking in SUSY ⁃ mSUGRA ansatz ⁃ soft invariants (time permitting) VI. Supersymmetric GUTs [9,10] ⁃ Gauge unification failure in minimal SU(5) • A simple extension with matter in the adjoint representation ⁃ General aspects of GUTs in SUSY ⁃ The minimal SUSY SU(5) GUT • Structure - the extra Higgs multiplet ⁃ Proton decay in SUSY • d=5 Higgsino mediated operators, preference of kaons in the final state ⁃ The trouble with the minimal SUSY SU(5) (proton decay, neutrino sector) VII. SO(10) GUTs [1,2,3,6,8,9,11] ⁃ U(1)B-L [ x SU(2)R ] as a gauge symmetry • The neutrino mass scale origin • Pati-Salam symmetry and lepton number as a fourth colour ⁃ SO(10) GUTs • Spinors & tensors of SO(10) • SO(10) in SU(5) and Pati-Salam language • SUSYx non-SUSY setting • Renormalizable x non-renormalizable seesaw • Proton decay in SUSY x non-SUSY SO(10) (d=4, d=5 operators) VIII. Exotics (time permitting) [4,5,7] ⁃ Classical non-perturbative solutions & spontaneously broken gauge theories • Soliton in phi^4 in 1+1 dimensions • The Derrick's theorem and the need for gauge fields • Nielsen-Olessen vortex in 2+1 dimensions, topological charges • t'Hooft-Polyakov monopole in 3+1 dimensions, the Georgi-Glashow SU(2) model ⁃ Monopoles in GUTs and their classification, the first and second homotopy classes ⁃ The Callan-Rubakov proton decay catalysis in presence of monopoles ⁃ Monopoles & inflation |