8.9.2010
Introduction: history, motivation. Notation: Dirac, Weyl, and Majorana
spinors. Raising and lowering indices.
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15.9.2010
Lorentz-transformation properties of Weyl spinors. Dirac
bilinears. Fiertz identities. Supersymmetry algebra.
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22.9.2010
Supersymmetry algebra continues.
Consequences of SUSY algebra. Massless N=1 SUSY multiplet.
Extended supersymmetry. Extended multiplets.
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29.9.2010
SUSY free field theory. Supersymmetric transformations of
the fields. Interacting Wess-Zumino model.
Nonrenormalization theorems.
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6.10.2010
Superfields. Linear representation of SUSY. Constraints on
superfields. Left-handed and right-handed chiral superfields.
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13.10.2010
Products of chiral superfields. Lagrangian in supersymmetric models.
Superpotential. F-term in terms of the other fields.
Spontaneous supersymmetry breaking in the case of chiral superfields.
O'Raifeartaigh model.
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20.10.2010
O'Raifeartaigh model. Goldstone theorem for spinorial symmetry.
Vector superfields. SUSY transformations of component fields of a
vector superfield.
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3.11.2010
SUSY generalization of gauge transformations. Field strength
superfield and kinetic terms for gauge fields. Gauge invariant
interactions of chiral superfields and vector superfields.
Mass terms for chiral superfields. Spontaneous gauge symmetry breaking.
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10.11.2010
Spontaneous breaking of
supersymmetry: Fayet-Iliopoulos method. Supersymmetric
nonabelian gauge transformation. Nonabelian generalization of gauge
transformations. SUSY and gauge covariant derivatives. Non-abelian
field strength superfield.
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17.11.2010
Non-abelian gauge - chiral superfield
interactions. Minimal supersymmetric standard model
particle content. Kinetic, gauge-chiral interaction, and Yukawa Lagrangian
for minimal supersymmetric standard model. Scalar
potential and minimum of it. Discrete symmetries,
R-parity.
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24.11.2010
R-symmetries. Soft supersymmetry breaking terms.
Hidden sector. MSSM Higgs sector: masses of charged,
pseudoscalar, and scalar Higgses. Radiative corrections
to the lightest Higgs mass.
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1.12.2010
Higgs couplings to
gauge bosons and fermions.
Noether procedure for finding local from global action.
Supergravity multiplet.
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