Universität Wien

260081 VU Topological quantum field theory 2 (2021S)

5.00 ECTS (3.00 SWS), SPL 26 - Physik
Continuous assessment of course work
Moodle

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 15 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 10.03. 11:30 - 13:00 Digital
  • Wednesday 17.03. 11:30 - 13:00 Digital
  • Friday 19.03. 11:30 - 12:15 Digital
  • Wednesday 24.03. 11:30 - 13:00 Digital
  • Friday 26.03. 11:30 - 12:15 Digital
  • Wednesday 14.04. 11:30 - 13:00 Digital
  • Friday 16.04. 11:30 - 12:15 Digital
  • Wednesday 21.04. 11:30 - 13:00 Digital
  • Friday 23.04. 11:30 - 12:15 Digital
  • Wednesday 28.04. 11:30 - 13:00 Digital
  • Friday 30.04. 11:30 - 12:15 Digital
  • Wednesday 05.05. 11:30 - 13:00 Digital
  • Friday 07.05. 11:30 - 12:15 Digital
  • Wednesday 12.05. 11:30 - 13:00 Digital
  • Friday 14.05. 11:30 - 12:15 Digital
  • Wednesday 19.05. 11:30 - 13:00 Digital
  • Friday 21.05. 11:30 - 12:15 Digital
  • Wednesday 26.05. 11:30 - 13:00 Digital
  • Friday 28.05. 11:30 - 12:15 Digital
  • Wednesday 02.06. 11:30 - 13:00 Digital
  • Friday 04.06. 11:30 - 12:15 Digital
  • Wednesday 09.06. 11:30 - 13:00 Digital
  • Friday 11.06. 11:30 - 12:15 Digital
  • Wednesday 16.06. 11:30 - 13:00 Digital
  • Friday 18.06. 11:30 - 12:15 Digital
  • Wednesday 23.06. 11:30 - 13:00 Digital
  • Friday 25.06. 11:30 - 12:15 Digital

Information

Aims, contents and method of the course

This course is a continuation of the introduction to an axiomatic, functorial approach to topological quantum field theory (TQFT) of the winter term 2020/21. Familiarity with that course will be assumed, but new participants will be provided a set of written lecture notes for the previous course. (If students express interest, an optional review sessions will be offered in the beginning of March.)

The course will introduce the notions of state sum models, sigma models and Landau-Ginzburg models, explain how they are examples of closed TQFTs, and how they relate to other parts of theoretical physics and mathematics. Depending on the preferences of the audience, later parts of the course will either focus on 3-dimensional gauge theories of Chern-Simons type, and more generally Reshetikhin-Turaev models, or on the theory of TQFTs that describe boundary conditions, more general defects, and/or are extended TQFTs.

Optional discussion sessions will be offered on a regular basis, and questions and other feedback are encouraged also via other channels, including anonymously via Moodle. To facilitate exchanges among themselves during the COVID-19 pandemic, an online conference room exclusively for the students (without the lecturer present) will be set up.

Assessment and permitted materials

Questions and comments during and after the lectures are encouraged, regular attendance is recommended. To get credits for this course, students will be asked to work out one of the exercises in written form, and to participate in one written test at the end of the term. If the number of participants is not too large, students will also be asked to present their exercise to the class. We will clearly formulate guidelines on how to present solutions in written and spoken form, and the lecturer will be available for consultations when solving the exercises.

Minimum requirements and assessment criteria

To formally pass this course, one exercise solution must be made available to class in written form, and at least 40% of the maximal score in the written test must be obtained. The written test and the exercise solution will equally contribute to the final grade.

Examination topics

Content of the lecture course and exercises.

Reading list

A detailed, annotated list of references will be provided during this course.

Association in the course directory

M-VAF A 2, M-VAF B, M-ERG

Last modified: Fr 12.05.2023 00:21