# Supersymmetric Gauge Theories - 1

(w/ Abhishek Chowdhury and Timm Wrase @ TU Vienna)

#### Organizational information

**Every Wednesdays, starting 04-October-2017, at 16:00 Hrs at the SEM-138A Freihaus 7th Floor. **

Please contact Abhiram in case of further information or clarifications.

#### Topics

- N = 2, d = 4 supersymmetric gauge theories
- Seiberg-Witten theory and exact solutions
- Four manifold invariants
- Dualities in various dimensions
- 6d N = (2,0) superconformal field theories

#### Pre-requisites

A good grasp of quantum field theory, differential geometry and supersymmetry is required for this course. Knowledge of conformal field theory is beneficial.#### List of talks/lectures

04.10.2017: Organizational meeting + Introduction to supersymmetry - Abhiram Kidambi

11.10.2017: Non-perturbative aspects of QFT - Florian Hechenberger

18.10.2017: N=2 actions - Christoph Roupec

25.10.2017: N=2 actions + Twisted N=2 theory - Abhiram Kidambi

01.11.2017: All Souls Day, holiday

08.11.2017: Exact solutions to N=2 SU(2) gauge theory - Timm Wrase

15.11.2017: Nekrasov PF and Instanton Counting - Andreas Banlaki **(St. Leopold day, still a working day. Change of time and location: Start at 15:00 sharp, Freihaus, Seminarraum 03 Stock, Gelb)**

22.11.2017: 4-manifold invariants - Frederic Brunner

29.11.2017: 4-manifold invariants - Frederic Brunner

06.12.2017: Dualities in supersymmetric field theories - Abhishek Chowdhury

13.12.2017: Argyres-Douglas theory - Abhishek Chowdhury

20.12.2017: AGT correspondence and 2d/4d duality - Abhishek Chowdhury

10.01.2018: 6d (2,0) SCFT -I - Marcus Sperling

17.01.2018: 6d (2,0) SCFT -II - Johanna Knapp

12.02.2018: Seiberg like dualities and their string origin I- Abhiram Kidambi

14.02.2018: Seiberg like dualities and their string origin II - Abhiram Kidambi **(Canceled)**

#### Literature

The main literature for this course will be the book by Yuji Tachikawa titled N=2 dynamics for pedestrians. We will use this book as a skeleton and, as and when required, go over a few topics in more detail. The topics on wall crossing and geometric Langlands are not discussed in the book by Tachikawa and therefore, we have listed a few resources below. The extra references are to be used to supplement the book and are meant to be a further resource which one can consult for clarifications.#### Extra references

##### For beginning (N=2) gauge theory and non-perturbative physics

##### Seiberg-Witten theory

##### Four manifold invariants

##### \(\mathcal{N} = 1\) Dualities

##### 6d (2,0) SCFT

#### Text books

- Geometry, Topology and Physics by Nakahara
- Aspects of Symmetry by Sidney Coleman
- Gauge Theory and Variational Principles by David Bleecker
- Supersymmetry and Supergravity by Wess and Bagger

### Video lectures

- PiTP Princeton 2010 (almost all of the topics we will go over in this course are covered fantastically by the experts and developers of said theories.)

#### Lighter reading (but still quite technical)

- The Dawning of Gauge Theory by Lochlainn O'Raifeartaigh