**
**### Unification of Interactions

The course consists of 14 lectures (90 minutes each).
Instructor: M. Blagojevic

1. Supersymmetry
Fermi-Bose symmetry. Supersymmetric extension of the Poincare
algebra. The free Wess-Zumino model. Supersymmetric
electrodynamics.
2-3. Representations of supersymmetry
Invariants of the super-Poincare algebra. Massless states.
Massive states. Supermultiplets of fields. Tensor calculus
and invariants. The interacting Wess-Zumino model.
4-5. Supergravity
The Rarita-Schwinger field. Linearized theory.
Complete supergravity. Algebra of local supersymmetries.
Auxiliary fields.
6. Basic ideas of Kaluza-Klein theory
Gravity in five dimensions. Ground state and stability.
7-8. Five-dimensional KK theory
Five-dimensional gravity and effective theory. Choosing dynamical
variables. Massless sector of the effective theory. Dynamics of
matter and fifth dimension. Symmetries and particle spectrum.
9-10. Higher-dimensional KK theory
General structure of higher-dimensional gravity. Massless sector
of the effective theory. Spontaneous compactification.
11. Classical bosonic strings
The relativistic point particle. Action principle for
the string. Hamiltonian formalism and symmetries.
12. Oscillator formalism
Open string. Closed string. Classical Virasoro algebra.
13. First quantization
Quantum mechanics of the string. Quantum Virasoro algebra.
Fock space of states.
14. Covariant field theory
Gauge symmetries. The action for the free string field.
Electrodynamics. Gravity.

**Requirements** include:
60 homework exercises, 2 seminars
The course Gravitation 2
**Literature:**
M. Blagojevic, *Gravitation and gauge symmetries*, chapters 9-11,
and references therein.