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Lectures: Sergey Demidov

Supersymmetry (Semesters 9-10)

Idea of supersymmetry, i.e. a symmetry between bosons and fermions, attracts constant attention among physicists. Supersymmetric models reveal many interesting properties which serve as a useful playground for studying quantum dynamics and which at the same time can find phenomenological applications in particle physics.

In the first part of this course we discuss general properties of supersymmetry algebra, the main perturbative aspects of four-dimensional \({\cal N}=1\) supersymmetric field theories and phenomenological application in particle physics. Superfield formulation of supersymmetric field theories is discussed. The second part is dedicated to basic nonperturbative properties of theories with global supersymmetry and theory with local \({\cal N}=1\) supersymmetry (supergravity).

Basic knowledge of quantum field theory, perturbation theory, quantum gauge fields and gravity is required. The course is accompanied by an extensive set of problems which are discussed with students at problem solving sessions. After having passed the course, students are expected to be able to read literature on theory and phenomenology of supersymmetric field theories and conduct research in this field.

Literature

  • J. Wess, J. Bagger, "Supersymmetry and supergravity." Princeton University Press, 1992.
  • E. Witten, "Constraints on supersymmetry breaking", Nucl. Phys. B202, 253 (1982).
  • S.P. Martin, "A supersymmetry primer", ArXiv:hep-ph/9709356.
  • J.D. Lykken, "Introduction to supersymmetry", ArXiv:hep-th/9612114.
  • A. Bilal, "Introduction to Supersymmetry", ArXiv:hep-th/0101055.
  • M. Shifman, A. Vainshtein, "Instantons Versus Supersummetry: Fifteen years later," ArXiv:hep-th/9902018.