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1 Symmetries in QFT Nish University, June - July 2010 1

Ludmil Hadjiivanov - Symmetries in Quantum Field Theory (1)

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Series of lectures “Symmetries in Field Theory” by prof. dr Ludmil Hadjiivanov, Elementary Particles Theory Lab., INRNE, Bulgarian Academy of Sciences, Sofia, Bulgaria.Faculty of Science and Mathematics, Nis, Serbia (June 29 - July 1, 2010)

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Page 1: Ludmil Hadjiivanov - Symmetries in Quantum Field Theory (1)

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Symmetries in QFT

Nish University, June - July 2010

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CONTENT

• Lecture 1 Introduction to groups and representations

• Lecture 2 Lie groups and Lie algebras

The rotation groupDynamical symmetry (an example)

Lorentz and Poincaré groups, conformal group Groups of internal (gauge) symmetries• Lecture 3

Complex semisimple Lie algebras Schur-Weyl duality (an exercise with Young diagrams) Symmetries in QFT - superselection sectors Supersymmetry

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