Introduction to Conformal Field Theories

Quantum field theories in four spacetime dimensions can typically be studied using only various approximation methods. In the special case of two dimensions, however, there exist additional symmetries which enable us to exactly solve the various quantum field theories.

During this lecture I will describe two classes of such quantum field theories: conformal field theories and integrable field theories. I will explain the methods used for their solution and present some of their applications.


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