476928-HS2024-0-Specialist course: Introduction to Conformal Field Theory





Root number 476928
Semester HS2024
Type of course Lecture
Allocation to subject Physics
Type of exam not defined
Title Specialist course: Introduction to Conformal Field Theory
Description Conformal Field Theories (CFTs) are quantum field theories which are invariant under conformal transformations. They have a special status among QFTs as they appear at the fixed points of the renormalization group (RG) flow. They play a role in the description of critical phenomena in condensed matter physics, are related to quantum gravity via the AdS/CFT correspondence, and appear in the world-sheet description of string theory.

In this course, we will first study conformal transformations and the conformal group and then discuss the implications of conformal invariance for a QFT. We will study n-point functions in CFTs, representations of the conformal group, radial quantization and the state-operator correspondence. Since the conformal group has very different properties in two and higher dimensions, we will study these cases separately.

Towards the end of the semester, we will study some advanced topics.

In order to be able to follow this course, you should ideally have taken QFT I and ACTP.
ILIAS-Link (Learning resource for course)
Link to another web site
Lecturers Prof. Dr. Susanne ReffertTeaching Staff, Faculty of Science 
ECTS 4
Recognition as optional course possible Yes
Grading 1 to 6
 
Dates Wednesday 10:15-12:00 Weekly
Thursday 10:15-11:00 Weekly
 
Rooms Hörraum 119, Exakte Wissenschaften, ExWi
 
Students please consult the detailed view for complete information on dates, rooms and planned podcasts.