conformal field theory wikipedia


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PDF 4 Introducing Conformal Field Theory

A conformal field theory (CFT) is a field theory which is invariant under these transfor-mations This means that the physics of the theory looks the same at all length scales Conformal field theories care about angles but not about distances Atransformationoftheform(4 1)hasadi↵erentinterpretationdependingonwhether

  • What is a two dimensional conformal field theory?

    A two-dimensional conformal field theory is a quantum field theory on a Euclidean two-dimensional space, that is invariant under local conformal transformations . In contrast to other types of conformal field theories, two-dimensional conformal field theories have infinite-dimensional symmetry algebras.

  • What does conformal field theory 39 Mean?

    For example, in the case of the affine theories introduced in section 3.7.2, the latter condition Conformal Field Theory 39 means thatthe representation space has tobearepresentation ofthe affine algebra(130), and for any value of k, there exist infinitely many (non-integral) representations.

  • What is chiral conformal field theory?

    In closed string theory, the oscillations of the string can be decomposed into two waves which move in opposite directions around the loop. These two waves are essentially independent of each other, and the theory therefore factorises into two so- called chiral conformal field theories.

  • Does a quantum field theory require conformal invariance?

    As a bona fide quantum field theory, the requirement of conformal invariance is very restrictive. In particular, since the theory is scale invariant, all particle-like excitations of the theory are necessarily massless. This might be seen as a strong argument against any possible physical relevance of such theories.

Introduction to conformal field theory Lecture 1

Introduction to conformal field theory Lecture 1

Introduction to Conformal Field Theory  CFT

Introduction to Conformal Field Theory CFT

Invitation to Conformal Field Theory: Through the Looking Glass of Conformal Symmetry

Invitation to Conformal Field Theory: Through the Looking Glass of Conformal Symmetry

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