Home › Quizzes › Conformal Field Theory

Conformal Field Theory

This quiz tests your understanding of Conformal Field Theory, a branch of theoretical physics that studies the properties of physical systems that are invariant under conformal transformations.

14 Questions Published
Play Quiz Practise this topic out loud

Questions

Question 1 Multiple Choice (Single Answer)

What is the central charge of a conformal field theory?

  1. The number of independent conformal transformations that leave the theory invariant
  2. The dimension of the conformal group
  3. The number of conserved currents in the theory
  4. The number of primary fields in the theory
Question 2 Multiple Choice (Single Answer)

What is the conformal anomaly?

  1. The difference between the classical and quantum values of the central charge
  2. The divergence of the stress-energy tensor
  3. The non-conservation of the conformal current
  4. The breaking of conformal symmetry in the presence of matter
Question 3 Multiple Choice (Single Answer)

What is a conformal field?

  1. A field that is invariant under conformal transformations
  2. A field that has a well-defined conformal weight
  3. A field that is a primary field
  4. A field that is a descendant field
Question 4 Multiple Choice (Single Answer)

What is a primary field?

  1. A field that has a well-defined conformal weight
  2. A field that is a conformal field
  3. A field that is a descendant field
  4. A field that is a marginal field
Question 5 Multiple Choice (Single Answer)

What is a descendant field?

  1. A field that is obtained from a primary field by applying a conformal transformation
  2. A field that has a conformal weight that is not well-defined
  3. A field that is not a conformal field
  4. A field that is a marginal field
Question 6 Multiple Choice (Single Answer)

What is a marginal field?

  1. A field that has a conformal weight that is equal to zero
  2. A field that is a primary field
  3. A field that is a descendant field
  4. A field that is not a conformal field
Question 7 Multiple Choice (Single Answer)

What is the Ward identity?

  1. An identity that relates the correlation functions of a conformal field theory to its conformal symmetry
  2. An identity that relates the correlation functions of a conformal field theory to its stress-energy tensor
  3. An identity that relates the correlation functions of a conformal field theory to its central charge
  4. An identity that relates the correlation functions of a conformal field theory to its conformal anomaly
Question 8 Multiple Choice (Single Answer)

What is the Zamolodchikov C-theorem?

  1. A theorem that states that the central charge of a conformal field theory is always positive
  2. A theorem that states that the central charge of a conformal field theory is always negative
  3. A theorem that states that the central charge of a conformal field theory is always zero
  4. A theorem that states that the central charge of a conformal field theory is always infinite
Question 9 Multiple Choice (Single Answer)

What is the Cardy formula?

  1. A formula that relates the central charge of a conformal field theory to its entropy
  2. A formula that relates the central charge of a conformal field theory to its free energy
  3. A formula that relates the central charge of a conformal field theory to its temperature
  4. A formula that relates the central charge of a conformal field theory to its pressure
Question 10 Multiple Choice (Single Answer)

What is the conformal bootstrap?

  1. A method for studying the properties of conformal field theories by using only their conformal symmetry
  2. A method for studying the properties of conformal field theories by using their correlation functions
  3. A method for studying the properties of conformal field theories by using their Ward identities
  4. A method for studying the properties of conformal field theories by using their Zamolodchikov C-theorem
Question 11 Multiple Choice (Single Answer)

What is the AdS/CFT correspondence?

  1. A correspondence between a conformal field theory in a flat spacetime and a string theory in an anti-de Sitter spacetime
  2. A correspondence between a conformal field theory in a curved spacetime and a string theory in a flat spacetime
  3. A correspondence between a conformal field theory in a flat spacetime and a string theory in a de Sitter spacetime
  4. A correspondence between a conformal field theory in a curved spacetime and a string theory in an anti-de Sitter spacetime
Question 12 Multiple Choice (Single Answer)

What is the Ryu-Takayanagi formula?

  1. A formula that relates the entanglement entropy of a region in a conformal field theory to the area of a minimal surface in the dual AdS spacetime
  2. A formula that relates the entanglement entropy of a region in a conformal field theory to the volume of a minimal surface in the dual AdS spacetime
  3. A formula that relates the entanglement entropy of a region in a conformal field theory to the length of a minimal surface in the dual AdS spacetime
  4. A formula that relates the entanglement entropy of a region in a conformal field theory to the curvature of a minimal surface in the dual AdS spacetime
Question 13 Multiple Choice (Single Answer)

What is the conformal collider?

  1. A theoretical tool for studying the properties of conformal field theories by using high-energy collisions
  2. A theoretical tool for studying the properties of conformal field theories by using low-energy collisions
  3. A theoretical tool for studying the properties of conformal field theories by using non-relativistic collisions
  4. A theoretical tool for studying the properties of conformal field theories by using ultra-relativistic collisions
Question 14 Multiple Choice (Single Answer)

What is the conformal window?

  1. A range of values of the coupling constant in a conformal field theory where the theory is conformal
  2. A range of values of the coupling constant in a conformal field theory where the theory is not conformal
  3. A range of values of the coupling constant in a conformal field theory where the theory is marginally conformal
  4. A range of values of the coupling constant in a conformal field theory where the theory is strongly conformal
← Back to Quizzes