Introduction to conformal field theory, Lecture 4

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In this seminar I will, over some 10 lectures, introduce the basics of conformal field theory. The emphasis will be on the physical content, however, there will be reference to mathematical formulations throughout.

The course is based on a mixture of Ginsparg's "Applied Conformal Field Theory", hep-th/9108028 and Schottenloher's "A mathematical introduction to conformal field theory".

Prerequisites for the course comprise: advanced QM, QFT, advanced QFT, and some familiarity with symplectic methods, which you can cover by watching my previous videos.

In this fourth lecture I discuss the consequences of conformal symmetry on quantum correlation functions.
  1. Tobias Osborne
  2. conformal group
  3. quantum field theory
  4. conformal field theory
  5. symmetries
  6. correlation functions
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Комментарии
Автор

26:54, 34:37, 40:19, 45:48, 53:20, 56:56, 1:01:16, 1:07:31, 1:11:53, 1:16:43, 1:28:02 oddly satisfying! Great lecture.

abhisheknavhal
Автор

Nice lecture! (but the transformation formulas with the primes get confusing... it would be nice to indicate if \phi ( x' ) = \phi ' ( x' ) ... and if not, what is the difference?)

KRO
Автор

At ~14:15, you mention that the entire Hilbert space can be created by acting the full conformal group on the vacuum vector. I don't understand how this could be true because the vacuum vector, under the conformal group action, is restricted to its "ray" in the Hilbert space because it only ever gets changed by a phase. Could you please clarify what you mean here?

arkyachatterjee