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</p> Signup and view all the answers

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

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

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

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

    What is the Lagrangian density associated with the electromagnetic field?

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

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

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

    Which theory includes the free propagator of the photon?

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

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