Introduction to the AdS/CFT Correspondence
Lecturer: Dr. Elli Pomoni
Friday 9-13 (every second week)
First lecture: 13.4.2012
RUD 25, Room 1.411
The dates of the lecture are: 13.4., 27.4., 11.5., 25.5., 22.6., 29.6., 6.7.
There will be an oral exam at the end of the semester.
The topics that we will cover include:
- Large N counting ('t Hooft's topological argument)
- The holographic principle
- Supersymmetry and CFT (Algebra, multiplets, Lagrangians)
- Anti de Sitter space (and review GR basics)
- Supergravity (4D, IIA/IIB in 10D, 11D; the low energy limit of closed string theory)
- Branes (Dirichlet branes, sugra solitons, Polchinski's argument)
- The statement of the duality (Maldacena's decoupling limit)
- AdS = CFT (Bulk to Boundary dictionary, Witten diagrams)
- 1/2 BPS protected multiplet of N = 4 SYM = KK reduction of 10D IIB sugra on S^5
Some prior knowledge of QFT and GR will be assumed.
For any questions, please contact Elli Pomoni: pomoni@mathematik.hu-berlin.de.
Homework
| Assignment Date | ||
|---|---|---|
| Sheet 1 | 13.04.12 | |
| Sheet 2 | 27.04.12 | |
| Sheet 3 | 11.05.12 | |
| Sheet 4 | 25.05.12 | |
| Sheet 5 | to appear | 22.06.12 |
| Sheet 6 | 29.06.12 | |
| Sheet 7 | 06.07.12 |
References
AdS/CFT reviews
- O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, "Large N field theories, string theory and gravity" hep-th/9905111
- E. D'Hoker and D. Z. Freedman, "Supersymmetric gauge theories and the AdS/CFT correspondence," hep-th/0201253
- Horatiu Nastase, "Introduction to AdS-CFT" arXiv:0712.0689
Supersymmetry and Supergravity
- Stephen P. Martin, "A Supersymmetry primer" hep-ph/9709356
- Joseph D. Lykken, "Introduction to supersymmetry" hep-th/9612114
- Sven Krippendorf, Fernando Quevedo, Oliver Schlotterer, ``Cambridge Lectures on Supersymmetry and Extra Dimensions'' arXiv:1011.1491
- P. van Nieuwenhuizen, "Supergravity" Physics Reports Volume 68, Issue 4, February 1981, Pages 189-398
- John Terning "Modern Supersymmetry" (OXFORD 2006)
- Brand new review by Horatiu Nastase "Introduction to supergravity". arXiv:1112.3502
Branes:
- Richard J. Szabo, "An Introduction to String Theory and D-brane Dynamics"
- Barton Zwiebach, "A First Course in String Theory"
- M. J. Duff, "TASI Lectures on Branes, Black Holes and Anti-de Sitter Space" hep-th/9912164
Other links:
By now there are many websites with notes, videos
- PiTP 2010 (Prospects in Theoretical Physics, IAS) link
- TASI 2012 Joseph Polchinski link
- TASI 2007 Videos: Eric D'Hoker and David Berenstein link
- John McGreevy, 8.821, String Theory, Fall 2008, link
- Black Holes and Holography: Mini-Course by L. Susskind PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE