Introduction to Supersymmetry: Master Physics Mathematical Course 2023/2024

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Questions and Answers

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

  • To explain the quark and lepton families
  • To address the incompatibility with describing gravity using general relativity (correct)
  • To unify the external symmetry with the internal symmetry
  • To provide candidates for dark matter

How does supersymmetry generalize the bosonic symmetry of general relativity?

  • By explaining the quantization of electric charge
  • By providing candidates for dark matter
  • By unifying external and internal symmetries
  • By allowing exchange between bosons and fermions (correct)

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

  • Internal symmetry
  • Poincaré group symmetry
  • Geometric symmetry (correct)
  • Quantum symmetry

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

<p>The incompatibility with general relativity (D)</p> Signup and view all the answers

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

<p>Physical space of the theory (C)</p> Signup and view all the answers

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

<p>They act on the internal space of particles and are associated with changes in phase of matter fields. (C)</p> Signup and view all the answers

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

<p>U (1) (A)</p> Signup and view all the answers

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

<p>Transformations with very small parameters (A)</p> Signup and view all the answers

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

<p>It involves the study of explicit realizations of the group's action. (D)</p> Signup and view all the answers

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

<p>The representations of internal symmetries (B)</p> Signup and view all the answers

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

<p>Quantum Electrodynamics (QED) (A)</p> Signup and view all the answers

What is the Lagrangian density associated with the electromagnetic field?

<p>Electromagnetic matrix Fµν (C)</p> Signup and view all the answers

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

<p>Quantum Electrodynamics (QED) (A)</p> Signup and view all the answers

Which theory includes the free propagator of the photon?

<p>Quantum Electrodynamics (QED) (D)</p> Signup and view all the answers

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

<p>Standard Model of Electroweak Interactions (A)</p> Signup and view all the answers

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

<p>It has proven the existence of the Higgs particle, a key component of the Standard Model. (C)</p> Signup and view all the answers

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

<p>It accurately describes known experimental facts with high precision. (C)</p> Signup and view all the answers

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

<p>It signifies the merging of electromagnetic and nuclear weak forces. (C)</p> Signup and view all the answers

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

<p>It provides a theoretical framework for integrating all fundamental forces at high energy scales. (B)</p> Signup and view all the answers

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

<p>By integrating two other fundamental forces: nuclear strong force and gravity. (B)</p> Signup and view all the answers

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