Selected topics in AdS/CFT correspondence

The Case for Escher's 'Angels and Devils' — Dejvid(NTMF082, winter term 2024/25)

Lecturer: David Kubiznak (david.kubiznak@matfyz.cuni.cz)

Institute of Theoretical Physics, MFF UK

Dotation: 2/1, oral exam

 

Description

We will cover the basics of the gauge/gravity duality and its applications to black hole thermodynamics, quark gluon plasma, condensed matter systems, and black hole information paradox. For PhD and Mgr students – basic knowledge of general relativity and quantum field theory is required.

 

Preliminary topics

 

Additional reading

·        Study text, DK (will evolve as the course progresses)

·        Gauge/gravity duality: Foundations and applications, M. Ammon and J. Erdmenger, Cambridge University Press, 2015.

·        AdS/CFT Duality User Guide, Makoto Natsuume, Lecture Notes in Physics 903, Springer, 2012.

·        The entropy of Hawking radiation, A. Almheiri etal., Rev. Mod. Phys. 93 (2021) 3, 035002; ArXiv:2006.6872.

 

Lectures and tutorials

Thursdays: 9:00-11:25, A1032UTF (Troja, UTF) – 1st lecture on Oct 3rd .

There will be 12-13 lectures and 6 tutorials.

 

·      Lecture 1: Review of black hole thermodynamics

·      Lecture 2: Gravitational action, AdS black holes, Hawking-Page phase transition

·      Lecture 3:

­  Tutorial 1: Black hole thermodynamics  Solutions T1

­  Lecture: Stringy motivations for AdS/CFT 1: classical strings 

·      Lecture 4: Stringy motivations for AdS/CFT 2: quantum superstrings, D-branes

·      Lecture 5:

­  Lecture: AdS/CFT conjecture, AdS: embedding perspective

­  Tutorial 2: Strings, throats, and D-branes  Solutions T2

·      Lecture 6: AdS primer, short CFT propaganda

·      Lecture 7:

­  State-operator correspondence

­  Tutorial 3: Conformal and Weyl symmetry  Solution T3

·      Lecture 8: Correlation functions, Holographic renormalization

·      Lecture 9:

­  Lecture: Wilson loops, finite temperature

­  Tutorial 4: Wilson loops & finite temperature   Solution T4

·      Lecture 10:

­  Lecture: Shear viscosity of QGP, Turbulent gravity

­  Tutorial 5: Finite temperature   Solution T5

·      Lecture 11:

­  Lecture: Holographic superconductors, Entanglement entropy

­  Tutorial 6: Holographic superconductors 

 

Homeworks

There will be 2 homeworks (to be submitted in due time).  

 

·      Homework 1: Hawking-Page phase transition

·      Homework 2: Holographic renormalization