Introduction to Supersymmetry: Master Physics Mathematical Course 2023/2024

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20 Questions

What is the main motivation for supersymmetry as an extension of the standard model of particles?

To address the incompatibility with describing gravity using general relativity

How does supersymmetry generalize the bosonic symmetry of general relativity?

By allowing exchange between bosons and fermions

Which type of symmetry acts on the physical space in the theory and is associated with changes of coordinates?

Geometric symmetry

What problem in the standard model does supersymmetry aim to solve?

The incompatibility with general relativity

In supersymmetry, what does the Poincaré group of relativity act on?

Physical space of the theory

What is the main characteristic of the internal symmetries (Gint) mentioned in the text?

They act on the internal space of particles and are associated with changes in phase of matter fields.

Which group is an example of a sub-group of the standard model U (1) × SU (2)?

U (1)

What is the most appropriate transformation for physics according to the text?

Transformations with very small parameters

Which statement best describes the algebraic representation associated with a Lie group?

It involves the study of explicit realizations of the group's action.

In a physical theory with symmetry, what do we study according to the text?

The representations of internal symmetries

Which theory describes electromagnetic interaction with time-dependent fields and Maxwell equations?

Quantum Electrodynamics (QED)

What is the Lagrangian density associated with the electromagnetic field?

Electromagnetic matrix Fµν

Which theory deals with the interaction of charged matter coupled to Aµ (photon)?

Quantum Electrodynamics (QED)

Which theory includes the free propagator of the photon?

Quantum Electrodynamics (QED)

In which theory are the Dirac and Weyl equations used to describe free Dirac fields?

Standard Model of Electroweak Interactions

What is the significance of the Large Hadron Collider (LHC) in relation to the Standard Model of electroweak interactions?

It has proven the existence of the Higgs particle, a key component of the Standard Model.

What is the primary achievement of the Standard Model of electroweak interactions?

It accurately describes known experimental facts with high precision.

What is the significance of unification at the electroweak energy scale MW?

It signifies the merging of electromagnetic and nuclear weak forces.

What role does the idea of unification play in relation to the development of the Standard Model?

It provides a theoretical framework for integrating all fundamental forces at high energy scales.

How has the Standard Model provided a basis for possible extensions in modern physics?

By integrating two other fundamental forces: nuclear strong force and gravity.

Explore the lecture notes on the introduction to supersymmetry, a course from the Master of Mathematical Physics, 2023/2024. The notes cover the basics and motivation behind supersymmetry as an extension of the standard model of particles.

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