Supersymmetry

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

yok

Course Contents

Candidates are provided with profound knowledge on introduction: history, motivation, Dirac and Weyl and Majorana spinors, Lorentz-transformation properties of Weyl spinors, Dirac bilinears, Fiertz identities, Supersymmetry algebra, consequences of SUSY algebra, massless N=1 SUSY multiplet, extended supersymmetry, extended multiplets, SUSY free field theory, supersymmetric transformations of the fields, interacting Wess-Zumino model, nonrenormalization theorems, Superspace and superfields, linear representation of SUSY, constraints on superfields, left-handed and right-handed chiral superfields, 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, goldstone theorem for spinorial symmetry, vector superfields, SUSY transformations of component fields of a vector superfield, 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, spontaneous breaking of supersymmetry, Fayet-Iliopoulos method, supersymmetric nonabelian gauge transformation, nonabelian generalization of gauge transformations, SUSY and gauge covariant derivatives, Non-abelian SUSY gauge connection, Non-abelian field strength superfield, 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, 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, Higgs couplings to gauge bosons and fermions, Noether procedure for finding local from global action, supergravity multiplet, Lagrangian for pure supergravity, SUGRA transformation for supergravity multiplet, SUGRA Wess-Zumino model, coupling supergravity multiplet to chiral and vector superfields.

Weekly Schedule

1) Introduction: history, motivation. Dirac and Weyl and Majorana spinors. Lorentz-transformation properties of Weyl spinors. Dirac bilinears. Fiertz identities
2) Supersymmetry algebra. Consequences of SUSY algebra. Massless N=1 SUSY multiplet
3) Extended supersymmetry. Extended multiplets
4) SUSY free field theory. Supersymmetric transformations of the fields. Interacting Wess-Zumino model. Nonrenormalization theorems
5) SUSY free field theory. Supersymmetric transformations of the fields. Interacting Wess-Zumino model. Nonrenormalization theorems
6) Superspace and superfields. Linear representation of SUSY. Constraints on superfields
7) Left-handed and right-handed chiral superfields. Products of chiral superfields. Lagrangian in supersymmetric models
8) Mid-term
9) Vector superfields. SUSY transformations of component fields of a vector superfield. SUSY generalization of gauge transformations
10) Field strength superfield and kinetic terms for gauge fields. Gauge invariant interactions of chiral superfields and vector superfields. Mass terms for chiral superfields
11) Spontaneous gauge symmetry breaking. Spontaneous breaking of supersymmetry: Fayet-Iliopoulos method. Supersymmetric nonabelian gauge transformation
12) Nonabelian generalization of gauge transformations. SUSY and gauge covariant derivatives. Non-abelian SUSY gauge connection. Non-abelian field strength superfield. Non-abelian gauge - chiral superfield interactions. Minimal supersymmetric standard model particle content
13) Kinetic, gauge-chiral interaction, and Yukawa Lagrangian for minimal supersymmetric standard model. Scalar potential and minimum of it. Discrete symmetries, R-parity. R-symmetries. Soft supersymmetry breaking terms
14) Noether procedure for finding local from global action.Supergravity multiplet. Lagrangian for pure supergravity
15) SUGRA transformation for supergravity multiplet. SUGRA Wess-Zumino model. Coupling supergravity multiplet to chiral and vector superfields
16) Final exam

Recommended or Required Reading

1- Introduction to Supersymmetry,H. J. W. M ller-Kirsten, A. Wiedemann,2010
2- Supersymmetry and Supergravity, Julius Wess, Jonathan Bagger ,Princeton University Press,1992
3- Introduction to Supersymmetry and Supergravity, Peter C. West, World Scientific, 1990
4- Supersymmetry in Particle Physics An Elementary Introduction, Ian Aitchison, Cambridge University Press, 2007
5- The Quantum Theory of Fields: Volume 3, Supersymmetry, Steven Weinberg, Cambridge University Press, 2005

Planned Learning Activities and Teaching Methods

1) Lecture
2) Self Study

Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade	40%
Contribution of Final Examination to Course Grade	60%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required