HGS-HIRe Power Week 2 - June 2011

Introduction to AdS/CFT



June 27-30, 2011.


Introductions and applications of AdS/CFT


Matthias Kaminski (Princeton)




9:00-10:30 Lecture: Introduction to AdS/CFT and its applications (I)
11:00-12:30 Lecture: Introduction to AdS/CFT and its applications (II)
14:00-17:00 Hands-on tasks
17:00-19:00 Solutions


9:00-10:30 Lecture: Thermal spectral functions from AdS/CFT
(non-conformal non-SUSY theories, finite Abelian/ non-Abelian densities, chemical potential, pole structure, bound states and resonances, instabilities, ...)
11:00-17:00 Hands-on tasks
17:00-19:00 Solutions


9:00-10:30 Lecture: Beyond hydrodynamics with AdS/CFT
(chiral magnetic effect, chiral vortex effect, second order hydro beyond Mueller-Israel-Stewart, reproducing classical hydrodynamics from Einstein's equations, fluid/gravity correspondence, ...)
11:00-17:00 Hands-on tasks
17:00-19:00 Solutions


9:00-10:30 Lecture: Phase transitions from AdS/CFT
(D-brane constructions, gravity toy models, superfluid and superconducting phases at large densities, ...)
11:00-17:00 Hands-on tasks
17:00-19:00 Solutions

Practical Information


The power week starts with an introduction session on Monday morning and will close on Thursday evening

Late arrivals

If you will arrive late please contact the coordinator in advance.


The power week will be held at FIAS, Ruth-Moufang-Str. 1, 60438 Frankfurt.




If you need accomodation please contact info(at)hgs-hire.de .


Common lunch and dinner is included in the power-week.

What to bring

A Laptop, ideally with Mathematica (or equivalent software).


WLAN is available


all local expenses will be covered by HGS-HIRe.


Though this trip will not generate any costs for your supervisor or group please do not forget to file a trip request so you are covered by insurance during the lecture week.

What to know

Participants are supposed to have heard about field theory and quantum field theory at some level (Peskin & Schroeder).
It would be helpful to know about simple numerical integration (Mathematica's NIntegrate[]), about solving ordinary differential equations numerically (Mathematica's NDSolve[]), and how to do algebraic manipulations with Mathematica (or equivalent software).

What to read

Very useful for the exercises and the whole powerweek:

[1] http://arxiv.org/abs/0808.1114 (my thesis from which many of the exercises are taken; I highly recommend reading subsections 2.1.2, 2.3, 2.4, 3.1.2, 3.1.3, 3.2, 3.3)

Below you find three references of interest for gauge/gravity, its origins and applications with relevance for the powerweek. Some of the subsections (e.g. "Introduction to AdS/CFT") in distinct references are intentionally redundant. Choose your favorites!

[2] http://arxiv.org/abs/0901.0935 (very good review of gauge/gravity applied to heavy-ion-physics; the details of section 4 are not vital for the powerweek)

[3] http://arxiv.org/abs/0711.4467 (more detailed review of how mesons and flavor are represented in gauge/gravity, summarizes many phenomenological results; read section 1, 2, 3.1, 3.2, 3.3, 7.1, 7.2, 7.3)

[4] http://arxiv.org/abs/0903.2596 (derivation of the recipe for computing Green's functions in gauge/gravity in a real-time-formalism; read sections I, II, V and appendices A, B)

Additional material also going beyond what will be covered during the powerweek:

[5] http://arxiv.org/abs/0704.0240 (very nice review of the low viscosity/entropy density bound)

[6] http://arxiv.org/abs/1002.4886 (lecture notes of holographic second order superfluid or superconducting phase transitions at large densities; read the parts seeming interesting to you if you have time)

[7] http://arxiv.org/abs/hep-th/9905111 (the original review)

[8] http://qed.princeton.edu/main/High_Energy_Computing/Talks_by_Steve_Gubser (slides of very good review talks by Steven Gubser)


  1. Jacqueline Bonnet
  2. Pascal Buescher
  3. Giuseppe Colucci
  4. Gabriel Denicol
  5. Daniil Gelfand
  6. Gunnar Gräf
  7. Martin Grahl
  8. Jan Lücker
  9. Nils Strodthoff
  10. Khaled Teilab
  11. Elina Seel
  12. Martin Sprenger
  13. Timm von Puttkamer
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