Supersymmetric gauge theories - 2

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

Organizational information

Every Wednesdays, starting 07-March-2017, at 16:00 Hrs at the Seminar room on the 10th Floor (Yellow tower, Freihaus, TU Wien, Wiedner Hauptstr. 8-10 1040 Vienna).
Please contact me in case of further information or clarifications.

Topics

  1. N = 1 dualities
  2. N = 2 dualities
  3. AGT conjecture
  4. Argyres-Douglas type CFT's
  5. Class S theories and spectral networks
  6. Wall crossing phenomena in various dimensions
  7. Geometric Langlands correspondence

Pre-requisites

A good grasp of quantum field theory, differential geometry and supersymmetry is required for this course. It is beneficial to have attended the first half of the course i.e supersymmetric gauge theories .

List of talks/lectures (Tentative)


07.03.2018: Organizational meeting

14.03.2018: Seiberg dualities and stringy origin - Abhiram Kidambi - Topics: Moduli spaces of 4d $\mathcal{N} = 1$ theories, 3d reduction and "mirror symmetry"

21.03.2018: Higgs branch of SCFT's - Abhishek Chowdhury

11.04.2018: Gaiotto duality and $N_f = 4$ theories - Abhishek Chowdhury (Postponed due to scheduling complications)

18.04.2018: Argyres-Douglas theory I - Christoph Roupec

25.04.2018: Argyres-Douglas theory II - Andreas Banlaki

02.05.2018: N = 2 IR dualities I - Abhishek Chowdhury

09.05.2018: N = 2 IR dualities II - Marcus Sperling

16.05.2018: N = 2 IR dualities III - Johanna Knapp

23.05.2018: N = 2 IR dualities IV - Abhiram Kidambi (Rescheduled from 06.06.2018)

30.05.2018: AGT conjecture I - Timm wrase

07.06.2018: AGT conjecture II - Timm Wrase

13.06.2018: Spectral networks and theories of class S - Abhiram Kidambi

20.06.2018: Wall crossing - Abhiram Kidambi

27.06.2018: Wall crossing - Abhiram Kidambi


Literature


Dualities
  • Magnetic monopoles as gauge particles (Original paper, there are many freely accessible books and articles which summarize this paper very well. Please get in touch if you want access to this paper.)
  • N=2 dualities
  • Localization Techniques in Quantum Field Theories (Chapter 12)
  • Liouville Correlation Functions from Four-dimensional Gauge Theories(Original AGT paper, for review - see Ch. 12 above)
    • Integrability and Localization
  • Lectures on Supersymmetric Yang-Mills Theory and Integrable Systems
  • Notes on supersymmetric and holomorphic field theories in dimensions 2 and 4
  • Localization Techniques in Quantum Field Theories (Chapters 1 and 3)
  • Supersymmetric Yang-Mills Systems And Integrable Systems
    • Argyres-Douglas CFT's
  • N=2 dynamics for pedestrians
  • General Argyres-Douglas Theory
    • Wall crossing
  • PiTP lectures on BPS wall crossing in d=4, N=2 theories by Greg Moore
  • ICTP lectures on instantons, wall-crossing and hypermultiplet moduli spaces
  • Corfu lectures on wall-crossing, multi-centered black holes, and quiver invariants
  • Trieste Lectures on Wall–Crossing Invariants
  • Lectures on motivic Donaldson-Thomas invariants and wall-crossing formulas
    • Geometric Langlands
  • Electric-Magnetic Duality And The Geometric Langlands Program (Original work, comprehensive)
  • Geometric Langlands From Six Dimensions
  • Conformal Field Theory In Four And Six Dimensions
  • Lectures on the Langlands Program and Conformal Field Theory
  • Aswin Balasubramanian's page on the Geometric Langlands Correspondence

    • Text books
    1. Geometry, Topology and Physics by Nakahara
    2. Aspects of Symmetry by Sidney Coleman
    3. Gauge Theory and Variational Principles by David Bleecker
    4. Supersymmetry and Supergravity by Wess and Bagger

    Video lectures
    1. PiTP Princeton 2010
    Lighter reading (but still quite technical)
    1. The Dawning of Gauge Theory by Lochlainn O'Raifeartaigh