2023Theoretical and mathematical physicsOpen access

Conformal Symmetry

L. Bonora

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Abstract

The trace or conformal anomalies are the second important family of anomalies. They affect the trace of the energy-momentum tensor of a theory and represent the violation of a classical property: the on shell vanishing of the trace of the energy-momentum tensor when the (classical) theory is conformal invariant. This chapter is devoted to an introduction to conformal symmetry and conformal field theories.

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The trace or conformal anomalies are the second important family of anomalies. They affect the trace of the energy-momentum tensor of a theory and represent the violation of a classical property: the on shell vanishing of the trace of the energy-momentum tensor when the (classical) theory is conformal invariant. This chapter is devoted to an introduction to conformal symmetry and conformal field theories.

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Available abstract

The trace or conformal anomalies are the second important family of anomalies. They affect the trace of the energy-momentum tensor of a theory and represent the violation of a classical property: the on shell vanishing of the trace of the energy-momentum tensor when the (classical) theory is conformal invariant. This chapter is devoted to an introduction to conformal symmetry and conformal field theories.

Key concepts: Conformal symmetry, Conformal anomaly, Conformal field theory, Conformal map, TRACE (psycholinguistics), Weyl transformation, Stress–energy tensor, Conformal geometry

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