Conformal Field Theory
| Description: 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. | |
| Number of Questions: 14 | |
| Created by: Aliensbrain Bot | |
| Tags: conformal field theory mathematical physics |
What is the central charge of a conformal field theory?
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The number of independent conformal transformations that leave the theory invariant
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The dimension of the conformal group
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The number of conserved currents in the theory
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The number of primary fields in the theory
The central charge is a measure of the number of degrees of freedom in a conformal field theory. It is related to the number of conserved currents in the theory, which are the generators of conformal transformations.
What is the conformal anomaly?
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The difference between the classical and quantum values of the central charge
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The divergence of the stress-energy tensor
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The non-conservation of the conformal current
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The breaking of conformal symmetry in the presence of matter
The conformal anomaly is a measure of the breaking of conformal symmetry in a quantum field theory. It is related to the divergence of the stress-energy tensor, which is the generator of conformal transformations.
What is a conformal field?
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A field that is invariant under conformal transformations
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A field that has a well-defined conformal weight
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A field that is a primary field
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A field that is a descendant field
A conformal field is a field that is invariant under conformal transformations. This means that its correlation functions are independent of the choice of conformal coordinate system.
What is a primary field?
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A field that has a well-defined conformal weight
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A field that is a conformal field
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A field that is a descendant field
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A field that is a marginal field
A primary field is a field that has a well-defined conformal weight. This means that its correlation functions transform in a simple way under conformal transformations.
What is a descendant field?
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A field that is obtained from a primary field by applying a conformal transformation
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A field that has a conformal weight that is not well-defined
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A field that is not a conformal field
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A field that is a marginal field
A descendant field is a field that is obtained from a primary field by applying a conformal transformation. It has a conformal weight that is related to the conformal weight of the primary field.
What is a marginal field?
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A field that has a conformal weight that is equal to zero
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A field that is a primary field
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A field that is a descendant field
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A field that is not a conformal field
A marginal field is a field that has a conformal weight that is equal to zero. This means that its correlation functions do not transform under conformal transformations.
What is the Ward identity?
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An identity that relates the correlation functions of a conformal field theory to its conformal symmetry
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An identity that relates the correlation functions of a conformal field theory to its stress-energy tensor
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An identity that relates the correlation functions of a conformal field theory to its central charge
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An identity that relates the correlation functions of a conformal field theory to its conformal anomaly
The Ward identity is an identity that relates the correlation functions of a conformal field theory to its conformal symmetry. It is a powerful tool for studying the properties of conformal field theories.
What is the Zamolodchikov C-theorem?
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A theorem that states that the central charge of a conformal field theory is always positive
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A theorem that states that the central charge of a conformal field theory is always negative
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A theorem that states that the central charge of a conformal field theory is always zero
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A theorem that states that the central charge of a conformal field theory is always infinite
The Zamolodchikov C-theorem is a theorem that states that the central charge of a conformal field theory is always positive. This theorem has important implications for the study of conformal field theories.
What is the Cardy formula?
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A formula that relates the central charge of a conformal field theory to its entropy
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A formula that relates the central charge of a conformal field theory to its free energy
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A formula that relates the central charge of a conformal field theory to its temperature
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A formula that relates the central charge of a conformal field theory to its pressure
The Cardy formula is a formula that relates the central charge of a conformal field theory to its entropy. It is a powerful tool for studying the properties of conformal field theories.
What is the conformal bootstrap?
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A method for studying the properties of conformal field theories by using only their conformal symmetry
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A method for studying the properties of conformal field theories by using their correlation functions
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A method for studying the properties of conformal field theories by using their Ward identities
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A method for studying the properties of conformal field theories by using their Zamolodchikov C-theorem
The conformal bootstrap is a method for studying the properties of conformal field theories by using only their conformal symmetry. It is a powerful tool for studying the properties of conformal field theories.
What is the AdS/CFT correspondence?
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A correspondence between a conformal field theory in a flat spacetime and a string theory in an anti-de Sitter spacetime
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A correspondence between a conformal field theory in a curved spacetime and a string theory in a flat spacetime
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A correspondence between a conformal field theory in a flat spacetime and a string theory in a de Sitter spacetime
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A correspondence between a conformal field theory in a curved spacetime and a string theory in an anti-de Sitter spacetime
The AdS/CFT correspondence is a correspondence between a conformal field theory in a flat spacetime and a string theory in an anti-de Sitter spacetime. It is a powerful tool for studying the properties of conformal field theories and string theories.
What is the Ryu-Takayanagi formula?
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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
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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
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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
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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
The Ryu-Takayanagi formula is 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. It is a powerful tool for studying the properties of conformal field theories and AdS/CFT correspondence.
What is the conformal collider?
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A theoretical tool for studying the properties of conformal field theories by using high-energy collisions
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A theoretical tool for studying the properties of conformal field theories by using low-energy collisions
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A theoretical tool for studying the properties of conformal field theories by using non-relativistic collisions
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A theoretical tool for studying the properties of conformal field theories by using ultra-relativistic collisions
The conformal collider is a theoretical tool for studying the properties of conformal field theories by using high-energy collisions. It is a powerful tool for studying the properties of conformal field theories and AdS/CFT correspondence.
What is the conformal window?
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A range of values of the coupling constant in a conformal field theory where the theory is conformal
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A range of values of the coupling constant in a conformal field theory where the theory is not conformal
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A range of values of the coupling constant in a conformal field theory where the theory is marginally conformal
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A range of values of the coupling constant in a conformal field theory where the theory is strongly conformal
The conformal window is a range of values of the coupling constant in a conformal field theory where the theory is conformal. It is a powerful tool for studying the properties of conformal field theories.